{"id":124887,"date":"2026-03-07T00:36:47","date_gmt":"2026-03-06T19:06:47","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=124887"},"modified":"2026-03-07T06:06:54","modified_gmt":"2026-03-07T00:36:54","slug":"rd-sharma-class-9-solutions-chapter-1-mcqs","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-1-mcqs\/","title":{"rendered":"RD Sharma Class 9 Solutions: Ultimate Guide [2026]"},"content":{"rendered":"<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"Article\",\n  \"headline\": \"RD Sharma Class 9 Solutions: Ultimate Guide [2026]\",\n  \"description\": \"Ace your Class 9 Maths exams with RD Sharma Solutions. Download FREE Chapter 1 MCQs PDF for 2026. Get expert guidance now!\",\n  \"author\": {\n    \"@type\": \"Organization\",\n    \"name\": \"KopyKitab\"\n  },\n  \"publisher\": {\n    \"@type\": \"Organization\",\n    \"name\": \"KopyKitab\",\n    \"url\": \"https:\/\/www.kopykitab.com\"\n  },\n  \"datePublished\": \"2026-03-07\",\n  \"dateModified\": \"2026-03-07\"\n}\n<\/script><\/p>\n<div class=\"freshness-block\" style=\"background:#e8f5e9;padding:15px;border-left:4px solid #4caf50;margin:20px 0;border-radius:4px;\">\n<strong>Last Updated:<\/strong> March 07, 2026 | This article has been updated with the latest information for 2026.\n<\/div>\n<p><img alt=\"RD Sharma Class 9 Solutions Chapter 1 MCQS\" class=\"alignnone wp-image-124888 size-full\" height=\"675\" loading=\"eager\" sizes=\"(max-width: 1200px) 100vw, 1200px\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-1-MCQS.jpg\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-1-MCQS.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-9-Solutions-Chapter-1-MCQS-768x432.jpg 768w\" width=\"1200\"\/><\/p>\n<p><strong>RD Sharma Class 9 Solutions Chapter 1 MCQS:<\/strong> Class 9 Maths exams ab aur bhi easy ho gaye hain! All thanks to the <a href=\"\/blog\/rd-sharma-class-9-solutions-for-maths\/\">RD Sharma Solutions Class 9 Maths<\/a>. Be it your 2026 exams ya class assignments, we have got your back! Download the Free PDF of <a href=\"\/blog\/rd-sharma-solutions-class-9-maths-chapter-1-number-system\/\">RD Sharma Class 9 Solutions Chapter 1<\/a> MCQs from this blog. To know more, you can read the whole blog.<\/p>\n<div class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\" id=\"ez-toc-container\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<p><span class=\"ez-toc-title-toggle\"><a aria-label=\"ez-toc-toggle-icon-1\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" href=\"#\"><label aria-label=\"Table of Content\" for=\"item-69ab7267a35c8\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg class=\"list-377408\" fill=\"none\" height=\"20px\" style=\"fill: #000000;color:#000000\" viewbox=\"0 0 24 24\" width=\"20px\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg baseprofile=\"tiny\" class=\"arrow-unsorted-368013\" height=\"10px\" style=\"fill: #000000;color:#000000\" version=\"1.2\" viewbox=\"0 0 24 24\" width=\"10px\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"><\/path><\/svg><\/span><\/label><input id=\"item-69ab7267a35c8\" type=\"checkbox\"\/><\/a><\/span><\/div>\n<nav>\n<ul class=\"ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default\">\n<li class=\"ez-toc-page-1 ez-toc-heading-level-2\"><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-1-mcqs\/#access-answers-of-rd-sharma-class-9-solutions-chapter-1-mcqs\" title=\"Access answers of RD Sharma Class 9 Solutions Chapter 1 MCQS\">Access answers of RD Sharma Class 9 Solutions Chapter 1 MCQS<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-2\"><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-1-mcqs\/#faqs-on-rd-sharma-solutions-class-9-maths-chapter-1-mcqs\" title=\"FAQs on RD Sharma Solutions Class 9 Maths Chapter 1 MCQs\">FAQs on RD Sharma Solutions Class 9 Maths Chapter 1 MCQs<\/a>\n<ul class=\"ez-toc-list-level-3\">\n<li class=\"ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-1-mcqs\/#how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-for-class-9-maths-chapter-1mcqs\" title=\"How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 1MCQs?\">How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 1MCQs?<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-1-mcqs\/#can-i-access-the-rd-sharma-solutions-class-9-maths-chapter-1-mcqs-pdf-offline\" title=\"Can I access the RD Sharma Solutions Class 9 Maths Chapter 1 MCQs PDF offline?\">Can I access the RD Sharma Solutions Class 9 Maths Chapter 1 MCQs PDF offline?<\/a><\/li>\n<li class=\"ez-toc-page-1 ez-toc-heading-level-3\"><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-1-mcqs\/#are-the-solutions-rd-sharma-solutions-class-9-maths-chapter-1-mcqs-relevant\" title=\"Are the solutions RD Sharma Solutions Class 9 Maths Chapter 1 MCQs relevant?\">Are the solutions RD Sharma Solutions Class 9 Maths Chapter 1 MCQs relevant?<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-class-9-solutions-chapter-1-mcqs\"><\/span><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-class-9-solutions-chapter-1-mcqs\"><\/span><strong>Access answers of RD Sharma Class 9 Solutions Chapter 1 MCQS<\/strong><span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Yahan pe aapko complete solutions mil jaenge for all MCQs. But wait \u2014 ek important tip! These solutions are updated for 2026 and follow the latest <a href=\"https:\/\/www.cbse.gov.in\/\" rel=\"noopener\" target=\"_blank\">CBSE curriculum guidelines<\/a>. So you&#8217;re getting the most accurate answers possible.<\/p>\n<p><strong>1.) Can we write 0 in the form of p\/q?<\/strong><\/p>\n<p>a. Yes<\/p>\n<p>b. No<\/p>\n<p>c. Cannot be explained<\/p>\n<p>d. None of the above<\/p>\n<p>Answer: a<\/p>\n<p>Explanation: 0 is a rational number and hence it can be written in the form of p\/q.<\/p>\n<p>Example: 0\/4 = 0<\/p>\n<p><strong>2.) The three rational numbers between 3 and 4 are:<\/strong><\/p>\n<p>a. 5\/2, 6\/2, 7\/2<\/p>\n<p>b. 13\/4, 14\/4, 15\/4<\/p>\n<p>c. 12\/7, 13\/7, 14\/7<\/p>\n<p>d.11\/4, 12\/4, 13\/4<\/p>\n<p>Answer: b<\/p>\n<p>Explanation: There are many rational numbers between 3 and 4<\/p>\n<p>To find 3 rational numbers, we need to multiply and divide both the numbers by 3+1 = 4<\/p>\n<p>Hence, 3 x (4\/4) = 12\/4 and 4 x (4\/4) = 16\/4<\/p>\n<p>Thus, three rational numbers between 12\/4 and 16\/4 are 13\/4, 14\/4, and 15\/4.<\/p>\n<p><strong>3.) In between any two numbers, there are:<\/strong><\/p>\n<p>a. Only one rational number<\/p>\n<p>b. Two rational numbers<\/p>\n<p>c. Infinite rational numbers<\/p>\n<p>d. No rational number<\/p>\n<p>Answer: c<\/p>\n<p>Explanation: Take the reference from question number 2 explained above.<\/p>\n<p><strong>4.) Every rational number is:<\/strong><\/p>\n<p>a. Whole number<\/p>\n<p>b. Natural number<\/p>\n<p>c. Integer<\/p>\n<p>d. Real number<\/p>\n<p>Answer: d<\/p>\n<p><strong>5.) \u221a9 is  __________ number.<\/strong><\/p>\n<p>a. A rational<\/p>\n<p>b. An irrational<\/p>\n<p>c. Neither rational nor irrational<\/p>\n<p>d. None of the above<\/p>\n<p>Answer: a<\/p>\n<p>Explanation: \u221a9 = 3<\/p>\n<p>Hence, \u221a9 is a rational number.<\/p>\n<p><strong>6.) Which of the following is an irrational number?<\/strong><\/p>\n<p>a. \u221a16<\/p>\n<p>b. \u221a(12\/3)<\/p>\n<p>c. \u221a12<\/p>\n<p>d. \u221a100<\/p>\n<p>Answer: c<\/p>\n<p>Explanation: \u221a12 cannot be simplified to a rational number.<\/p>\n<p><strong>7.) 3\u221a6 + 4\u221a6 is equal to:<\/strong><\/p>\n<p>a. 6\u221a6<\/p>\n<p>b. 7\u221a6<\/p>\n<p>c. 4\u221a12<\/p>\n<p>d. 7\u221a12<\/p>\n<p>Answer: b<\/p>\n<p>Explanation: 3\u221a6 + 4\u221a6 = (3 + 4)\u221a6 = 7\u221a6<\/p>\n<p><strong>8.) \u221a6 x \u221a27 is equal to:<\/strong><\/p>\n<p>a. 9\u221a2<\/p>\n<p>b. 3\u221a3<\/p>\n<p>c. 2\u221a2<\/p>\n<p>d. 9\u221a3<\/p>\n<p>Answer: a<\/p>\n<p>Explanation: \u221a6 x \u221a27 = \u221a(6  x 27) = \u221a(2 x 3 x 3 x 3 x 3) = (3 x 3)\u221a2 = 9\u221a2<\/p>\n<p><strong>9.) Which of the following is equal to x<sup>3<\/sup>?<\/strong><\/p>\n<p>a. x<sup>6 <\/sup>\u2013 x<sup>3<\/sup><\/p>\n<p>b. x<sup>6<\/sup>.x<sup>3<\/sup><\/p>\n<p>c. x<sup>6<\/sup>\/x<sup>3<\/sup><\/p>\n<p>d. (x<sup>6<\/sup>)<sup>3<\/sup><\/p>\n<p>Answer: c<\/p>\n<p>Explanation: x<sup>6<\/sup>\/x<sup>3<\/sup> = x<sup>6 \u2013 3<\/sup> = x<sup>3<\/sup><\/p>\n<p><strong>10.) Which of the following is an irrational number?<\/strong><\/p>\n<p>a. \u221a23<\/p>\n<p>b. \u221a225<\/p>\n<p>c. 0.3796<\/p>\n<p>d. 7.478478<\/p>\n<p>Answer: a<\/p>\n<p>Explanation: \u221a23 = 4.79583152331\u2026<\/p>\n<p>Since the decimal expansion of the number is non-terminating and non-recurring. Hence, it is an irrational number.<\/p>\n<p><b>11.) Which of the following is an irrational number?<\/b><\/p>\n<p>a. 0.14<\/p>\n<p>b. <span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;mn&gt;0.14&lt;\/mn&gt;&lt;mover&gt;&lt;mn&gt;16&lt;\/mn&gt;&lt;mo accent=\"false\"&gt;&amp;#x00AF;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/math&gt;' id=\"MathJax-Element-1-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-1\"><span class=\"mjx-mrow\" id=\"MJXc-Node-2\"><span class=\"mjx-mn\" id=\"MJXc-Node-3\"><span class=\"mjx-char MJXc-TeX-main-R\">0.14<\/span><\/span><span class=\"mjx-munderover\" id=\"MJXc-Node-4\"><span class=\"mjx-stack\"><span class=\"mjx-over\"><span class=\"mjx-mo\" id=\"MJXc-Node-6\"><span class=\"mjx-delim-h\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00af<\/span><span class=\"mjx-char MJXc-TeX-main-R\">\u00af\u00af\u00af\u00af<\/span><span class=\"mjx-char MJXc-TeX-main-R\">\u00af<\/span><\/span><\/span><\/span><span class=\"mjx-op\"><span class=\"mjx-mn\" id=\"MJXc-Node-5\"><span class=\"mjx-char MJXc-TeX-main-R\">16<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">0.1416\u00af<\/span><\/span><\/p>\n<p>c. <span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;mn&gt;0.&lt;\/mn&gt;&lt;mover&gt;&lt;mn&gt;1416&lt;\/mn&gt;&lt;mo accent=\"false\"&gt;&amp;#x00AF;&lt;\/mo&gt;&lt;\/mover&gt;&lt;\/math&gt;' id=\"MathJax-Element-2-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-7\"><span class=\"mjx-mrow\" id=\"MJXc-Node-8\"><span class=\"mjx-mn\" id=\"MJXc-Node-9\"><span class=\"mjx-char MJXc-TeX-main-R\">0.<\/span><\/span><span class=\"mjx-munderover\" id=\"MJXc-Node-10\"><span class=\"mjx-stack\"><span class=\"mjx-over\"><span class=\"mjx-mo\" id=\"MJXc-Node-12\"><span class=\"mjx-delim-h\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00af<\/span><span class=\"mjx-char MJXc-TeX-main-R\">\u00af\u00af\u00af\u00af\u00af\u00af\u00af\u00af\u00af<\/span><span class=\"mjx-char MJXc-TeX-main-R\">\u00af<\/span><\/span><\/span><\/span><span class=\"mjx-op\"><span class=\"mjx-mn\" id=\"MJXc-Node-11\"><span class=\"mjx-char MJXc-TeX-main-R\">1416<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">0.1416\u00af<\/span><\/span><\/p>\n<p>d. 0.4014001400014\u2026<\/p>\n<p>Answer: d<\/p>\n<p>Explanation: 0.4014001400014\u2026is an irrational number as it is non-terminating and non-repeating.<\/p>\n<p><b>12.) 2\u221a3+\u221a3 = <\/b><\/p>\n<p>a. 6<\/p>\n<p>b. 2\u221a6<\/p>\n<p>c. 3\u221a3<\/p>\n<p>d. 4\u221a6<\/p>\n<p>Answer:  c<\/p>\n<p>Explanation: 2\u221a3+\u221a3 = (2+1)\u221a3= 3\u221a3.<\/p>\n<p><b>13.) Find the value of <span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;msqrt&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/msqrt&gt;&lt;\/math&gt;' id=\"MathJax-Element-3-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-13\"><span class=\"mjx-mrow\" id=\"MJXc-Node-14\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-15\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size3-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-16\"><span class=\"mjx-mfrac\" id=\"MJXc-Node-17\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-18\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-19\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-20\"><span class=\"mjx-mn\" id=\"MJXc-Node-21\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-22\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-23\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-24\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-25\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-26\"><span class=\"mjx-mn\" id=\"MJXc-Node-27\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-28\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-29\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">2\u221212+1<\/span><\/span>, if \u221a2 = 1.4142.<\/b><\/p>\n<p>a. 5.8282<\/p>\n<p>b. 0.1718<\/p>\n<p>c. 0.4142<\/p>\n<p>d. 2.4142<\/p>\n<p>Answer: c<\/p>\n<p>Explanation:<\/p>\n<p><span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;msqrt&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/msqrt&gt;&lt;\/math&gt;' id=\"MathJax-Element-4-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-30\"><span class=\"mjx-mrow\" id=\"MJXc-Node-31\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-32\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size3-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-33\"><span class=\"mjx-mfrac\" id=\"MJXc-Node-34\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-35\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-36\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-37\"><span class=\"mjx-mn\" id=\"MJXc-Node-38\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-39\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-40\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-41\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-42\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-43\"><span class=\"mjx-mn\" id=\"MJXc-Node-44\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-45\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-46\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">2\u221212+1<\/span><\/span> = <span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;msqrt&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;1.4142&lt;\/mn&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mn&gt;1.4142&lt;\/mn&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/msqrt&gt;&lt;\/math&gt;' id=\"MathJax-Element-5-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-47\"><span class=\"mjx-mrow\" id=\"MJXc-Node-48\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-49\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size2-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-50\"><span class=\"mjx-mfrac\" id=\"MJXc-Node-51\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-52\"><span class=\"mjx-mn\" id=\"MJXc-Node-53\"><span class=\"mjx-char MJXc-TeX-main-R\">1.4142<\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-54\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-55\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-56\"><span class=\"mjx-mn\" id=\"MJXc-Node-57\"><span class=\"mjx-char MJXc-TeX-main-R\">1.4142<\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-58\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-59\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">1.4142\u221211.4142+1<\/span><\/span><\/p>\n<p>=<span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;msqrt&gt;&lt;mfrac&gt;&lt;mn&gt;0.4142&lt;\/mn&gt;&lt;mn&gt;2.4142&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/msqrt&gt;&lt;\/math&gt;' id=\"MathJax-Element-6-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-60\"><span class=\"mjx-mrow\" id=\"MJXc-Node-61\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-62\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-size2-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-63\"><span class=\"mjx-mfrac\" id=\"MJXc-Node-64\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mn\" id=\"MJXc-Node-65\"><span class=\"mjx-char MJXc-TeX-main-R\">0.4142<\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mn\" id=\"MJXc-Node-66\"><span class=\"mjx-char MJXc-TeX-main-R\">2.4142<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">0.41422.4142<\/span><\/span><\/p>\n<p>= 0.4142<\/p>\n<p><b>14.) The number obtained by rationalizing the denominator of <span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/math&gt;' id=\"MathJax-Element-7-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-67\"><span class=\"mjx-mrow\" id=\"MJXc-Node-68\"><span class=\"mjx-mfrac\" id=\"MJXc-Node-69\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mn\" id=\"MJXc-Node-70\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-71\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-72\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-73\"><span class=\"mjx-mn\" id=\"MJXc-Node-74\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-75\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-76\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">17\u22122<\/span><\/span> is<\/b><\/p>\n<p>a. (\u221a7+2)\/3<\/p>\n<p>b. (\u221a7-2)\/3<\/p>\n<p>c. (\u221a7+2)\/5<\/p>\n<p>d. (\u221a7+2)\/45<\/p>\n<p>Answer: a<\/p>\n<p>Explanation:<\/p>\n<p><span class=\"mjx-chtml MathJax_CHTML\" data-mathml='&lt;math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;mo&gt;&amp;#x00D7;&lt;\/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mo stretchy=\"false\"&gt;(&lt;\/mo&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;msup&gt;&lt;mo stretchy=\"false\"&gt;)&lt;\/mo&gt;&lt;mrow class=\"MJX-TeXAtom-ORD\"&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;mo stretchy=\"false\"&gt;(&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;msup&gt;&lt;mo stretchy=\"false\"&gt;)&lt;\/mo&gt;&lt;mrow class=\"MJX-TeXAtom-ORD\"&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msup&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;mo&gt;=&lt;\/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;msqrt&gt;&lt;mn&gt;7&lt;\/mn&gt;&lt;\/msqrt&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mn&gt;3&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/math&gt;' id=\"MathJax-Element-8-Frame\" role=\"presentation\" style=\"box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.66px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\"><span aria-hidden=\"true\" class=\"mjx-math\" id=\"MJXc-Node-77\"><span class=\"mjx-mrow\" id=\"MJXc-Node-78\"><span class=\"mjx-mfrac\" id=\"MJXc-Node-79\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mn\" id=\"MJXc-Node-80\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-81\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-82\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-83\"><span class=\"mjx-mn\" id=\"MJXc-Node-84\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-85\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-86\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo MJXc-space3\" id=\"MJXc-Node-87\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span class=\"mjx-mfrac MJXc-space3\" id=\"MJXc-Node-88\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mn\" id=\"MJXc-Node-89\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-90\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-91\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-92\"><span class=\"mjx-mn\" id=\"MJXc-Node-93\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-94\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-95\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo MJXc-space2\" id=\"MJXc-Node-96\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00d7<\/span><\/span><span class=\"mjx-mfrac MJXc-space2\" id=\"MJXc-Node-97\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-98\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-99\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-100\"><span class=\"mjx-mn\" id=\"MJXc-Node-101\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-102\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-103\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-104\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-105\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-106\"><span class=\"mjx-mn\" id=\"MJXc-Node-107\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-108\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-109\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo MJXc-space3\" id=\"MJXc-Node-110\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span class=\"mjx-mfrac MJXc-space3\" id=\"MJXc-Node-111\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-112\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-113\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-114\"><span class=\"mjx-mn\" id=\"MJXc-Node-115\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-116\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-117\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-118\"><span class=\"mjx-mo\" id=\"MJXc-Node-119\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span class=\"mjx-msqrt\" id=\"MJXc-Node-120\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-121\"><span class=\"mjx-mn\" id=\"MJXc-Node-122\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-msubsup\" id=\"MJXc-Node-123\"><span class=\"mjx-base\"><span class=\"mjx-mo\" id=\"MJXc-Node-124\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><\/span><span class=\"mjx-sup\"><span class=\"mjx-texatom\" id=\"MJXc-Node-125\"><span class=\"mjx-mrow\" id=\"MJXc-Node-126\"><span class=\"mjx-mn\" id=\"MJXc-Node-127\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-128\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-129\"><span class=\"mjx-char MJXc-TeX-main-R\">(<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-130\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span class=\"mjx-msubsup\" id=\"MJXc-Node-131\"><span class=\"mjx-base\"><span class=\"mjx-mo\" id=\"MJXc-Node-132\"><span class=\"mjx-char MJXc-TeX-main-R\">)<\/span><\/span><\/span><span class=\"mjx-sup\"><span class=\"mjx-texatom\" id=\"MJXc-Node-133\"><span class=\"mjx-mrow\" id=\"MJXc-Node-134\"><span class=\"mjx-mn\" id=\"MJXc-Node-135\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo MJXc-space3\" id=\"MJXc-Node-136\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span class=\"mjx-mfrac MJXc-space3\" id=\"MJXc-Node-137\"><span class=\"mjx-box MJXc-stacked\"><span class=\"mjx-numerator\"><span class=\"mjx-mrow\" id=\"MJXc-Node-138\"><span class=\"mjx-msqrt\" id=\"MJXc-Node-139\"><span class=\"mjx-box\"><span class=\"mjx-surd\"><span class=\"mjx-char MJXc-TeX-main-R\">\u221a<\/span><\/span><span class=\"mjx-mrow\" id=\"MJXc-Node-140\"><span class=\"mjx-mn\" id=\"MJXc-Node-141\"><span class=\"mjx-char MJXc-TeX-main-R\">7<\/span><\/span><\/span><\/span><\/span><span class=\"mjx-mo\" id=\"MJXc-Node-142\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span class=\"mjx-mn\" id=\"MJXc-Node-143\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span class=\"mjx-denominator\"><span class=\"mjx-mn\" id=\"MJXc-Node-144\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">17\u22122=17\u22122\u00d77+27+2=7+2(7)2\u2212(2)2=7+23<\/span><\/span><\/p>\n<p><b>15.) Which of the following is rational?<\/b><\/p>\n<p>a. 4\/0<\/p>\n<p>b. 0\/4<\/p>\n<p>c. \u221a3<\/p>\n<p>d. \u03c0<\/p>\n<p>Answer: b<\/p>\n<p>Explanation: 0\/4 is a rational number that is equal to 0. Whereas \u03c0 and \u221a3 are irrational numbers and 4\/0 is meaningless.<\/p>\n<p><b>16.) The irrational number between 2 and 2.5 is <\/b><\/p>\n<p>a. \u221a11<\/p>\n<p>b. \u221a5<\/p>\n<p>c. \u221a22.5<\/p>\n<p>d. \u221a12.5<\/p>\n<p>Answer: b<\/p>\n<p>Explanation: The irrational number between 2 and 2.5 is \u221a5 because the approximate value of \u221a5 is 2. 23606\u2026<\/p>\n<p><b>17.) The value of \u221a10 times \u221a15 is equal to<\/b><\/p>\n<p>a. 5\u221a6<\/p>\n<p>b. \u221a25<\/p>\n<p>c. 10\u221a5<\/p>\n<p>d. \u221a5<\/p>\n<p>Answer: a<\/p>\n<p>Explanation: \u221a10\u00d7\u221a15 =(\u221a2.\u221a5)\u00d7(\u221a3. \u221a5) = 5\u221a6.<\/p>\n<p><b>18.) The decimal representation of the rational number is<\/b><\/p>\n<p>a. Always terminating<\/p>\n<p>b. Either terminating or repeating<\/p>\n<p>c. Either terminating or non-repeating<\/p>\n<p>d. Neither terminating nor repeating<\/p>\n<p>Answer: b<\/p>\n<p>Explanation: As per the definition of a rational number, its decimal representation is either terminating or repeating.<\/p>\n<p><b>19.) Which of the following is a rational number?<\/b><\/p>\n<p>a. 0<\/p>\n<p>b. 2\u221a3<\/p>\n<p>c. 2+\u221a3<\/p>\n<p>d. \u03c0<\/p>\n<p>Answer: a<\/p>\n<p>Explanation: 0 is a rational number, and it can be written as 0\/1 or 0\/2 or 0\/3 etc. Whereas 2\u221a3, 2+\u221a3, and \u03c0 are irrational numbers.<\/p>\n<p><b>20.) Which of the following is an irrational number?<\/b><\/p>\n<p>a. \u221a(4\/9)<\/p>\n<p>b. \u221a12\/\u221a3<\/p>\n<p>c. \u221a7<\/p>\n<p>d. \u221a81<\/p>\n<p>Answer: c<\/p>\n<p>Explanation: \u221a7 is an irrational number. Because other options given are simplified into a rational number.<\/p>\n<p>This is the complete blog on RD Sharma Solutions Class 9 Maths Chapter 1 MCQs for 2026. Agar aapko aur kuch jaanna hai about the <a href=\"https:\/\/www.cbse.gov.in\/\" rel=\"noopener\" target=\"_blank\">CBSE<\/a> Class 9 Maths exam, toh comments mein zaroor puchiye!<\/p>\n<p>Looking for more Class 9 solutions? Check out our comprehensive collection of <a href=\"\/blog\/rd-sharma-class-9-solutions\/\">RD Sharma Class 9 Solutions<\/a> for all chapters. These solutions are specially curated by expert teachers following the latest <a href=\"https:\/\/ncert.nic.in\/\" rel=\"noopener\" target=\"_blank\">NCERT curriculum guidelines<\/a> for 2026.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-9-maths-chapter-1-mcqs\"><\/span><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-9-maths-chapter-1-mcqs\"><\/span><strong>FAQs on RD Sharma Solutions Class 9 Maths Chapter 1 MCQs<\/strong><span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"rank-math-block\" id=\"rank-math-faq\">\n<div class=\"rank-math-list\">\n<div class=\"rank-math-list-item\" id=\"faq-question-1630931617687\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-for-class-9-maths-chapter-1mcqs\"><\/span><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-for-class-9-maths-chapter-1mcqs\"><\/span>How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 1MCQs?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>You can download it for free. Bilkul free! No hidden charges, no subscription fees. Just download and start practicing.<\/p>\n<\/div>\n<\/div>\n<div class=\"rank-math-list-item\" id=\"faq-question-1630931643166\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-solutions-class-9-maths-chapter-1-mcqs-pdf-offline\"><\/span><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-solutions-class-9-maths-chapter-1-mcqs-pdf-offline\"><\/span>Can I access the RD Sharma Solutions Class 9 Maths Chapter 1 MCQs PDF offline?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>Haan bilkul! Once you have downloaded the PDF online, you can access it offline as well. Perfect for studying anywhere, anytime.<\/p>\n<\/div>\n<\/div>\n<div class=\"rank-math-list-item\" id=\"faq-question-1630931671475\">\n<h3 class=\"rank-math-question\"><span class=\"ez-toc-section\" id=\"are-the-solutions-rd-sharma-solutions-class-9-maths-chapter-1-mcqs-relevant\"><\/span><span class=\"ez-toc-section\" id=\"are-the-solutions-rd-sharma-solutions-class-9-maths-chapter-1-mcqs-relevant\"><\/span>Are the solutions RD Sharma Solutions Class 9 Maths Chapter 1 MCQs relevant?<span class=\"ez-toc-section-end\"><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer\">\n<p>Absolutely! The solutions are relevant as they are designed by subject matter experts and updated for 2026. They follow the latest CBSE pattern aur exam requirements.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Last Updated: March 07, 2026 | This article has been updated with the latest information for 2026. RD Sharma Class 9 Solutions Chapter 1 MCQS: Class 9 Maths exams ab aur bhi easy ho gaye hain! All thanks to the RD Sharma Solutions Class 9 Maths. Be it your 2026 exams ya class assignments, we &#8230; <a title=\"RD Sharma Class 9 Solutions: Ultimate Guide [2026]\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-9-solutions-chapter-1-mcqs\/\" aria-label=\"More on RD Sharma Class 9 Solutions: Ultimate Guide [2026]\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":124888,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411],"tags":[61598,115354],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124887"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/243"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=124887"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124887\/revisions"}],"predecessor-version":[{"id":574883,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/124887\/revisions\/574883"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/124888"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=124887"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=124887"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=124887"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}