{"id":73087,"date":"2021-02-04T15:10:39","date_gmt":"2021-02-04T09:40:39","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73087"},"modified":"2023-07-12T10:30:04","modified_gmt":"2023-07-12T05:00:04","slug":"rd-sharma-chapter-3-class-9-maths-exercise-3-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-3-class-9-maths-exercise-3-1-solutions\/","title":{"rendered":"RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions is based on Rationalisation. The experts of our institute prepare the questions listed in the RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 based on the CBSE syllabus. Rationalization is a procedure in which the rational exponents in the denominator of a fraction are eliminated.<\/p>\n<p>With the help of this article, students learned about solving algebraic expressions using identities, which helps to score well in the exams. As the solutions are provided on an easy method and shortcuts (which is easy to remember and solving problem soon) like-<\/p>\n<p><img class=\"alignnone size-full wp-image-73088\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/3.1.png\" alt=\"RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions\" width=\"449\" height=\"129\"><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Class 9 Chapter 3 (Rationalization)<\/strong><\/a><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69db441d23a6c\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><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\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69db441d23a6c\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><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-chapter-3-class-9-maths-exercise-3-1-solutions\/#download-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions-pdf\" title=\"Download RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions PDF\">Download RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions PDF<\/a><\/li><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-chapter-3-class-9-maths-exercise-3-1-solutions\/#important-definition-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions\" title=\"Important Definition RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions\">Important Definition RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-3-class-9-maths-exercise-3-1-solutions\/#benefits-of-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions\" title=\"Benefits of RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions\">Benefits of RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-3-class-9-maths-exercise-3-1-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions-pdf\"><\/span>Download RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-3-Rationalisation-Exercise-3.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-3-Rationalisation-Exercise-3.1.pdf\">Solutions for Class 9 Maths Chapter 3 Rationalisation Exercise 3.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions\"><\/span>Important Definition RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Find some examples of Rationalisation based on the identities mentioned above-<\/p>\n<p><strong>Ques 1-(4 + \u221a7) (3 + \u221a2)<\/strong><\/p>\n<p><strong>Solution-<\/strong> (4 + \u221a7) (3 + \u221a2)<\/p>\n<p>= 12 + 4\u221a2 + 3\u221a7 + \u221a14<\/p>\n<p><strong>Ques 2- (3 + \u221a3) (5- \u221a2 )<\/strong><\/p>\n<p><strong>Solution-<\/strong> (3 + \u221a3) (5- \u221a2 )<\/p>\n<p>= 15 \u2013 3\u221a2 + 5\u221a3 \u2013 \u221a6<\/p>\n<p><strong>Ques 3- (\u221a5\u2013 2) (\u221a3 \u2013 \u221a5)<\/strong><\/p>\n<p><strong>Solution-<\/strong> (\u221a5\u2013 2) (\u221a3 \u2013 \u221a5)<\/p>\n<p>= \u221a15 \u2013 \u221a25 \u2013 2\u221a3 + 2\u221a5<\/p>\n<p>= \u221a15 \u2013 5 \u2013 2\u221a3 + 2\u221a5<\/p>\n<p><strong>Ques 4- (11 + \u221a11) (11 \u2013 \u221a11)<\/strong><\/p>\n<p><strong>Solution- <\/strong>&nbsp;(11 + \u221a11) (11 \u2013 \u221a11)<\/p>\n<p>= 11\u00b2 \u2013 (\u221a11)\u00b2<\/p>\n<p>= 121 \u2013 11 = 110<\/p>\n<p><strong>Ques 5- (2\u221a5 + 3\u221a2)\u00b2<\/strong><\/p>\n<p><strong>Solution- (2\u221a5 + 3\u221a2)\u00b2<\/strong><\/p>\n<p><strong>=<\/strong> 2\u221a5\u00b2 + 3\u221a2\u00b2 + 2(2\u221a5) (3\u221a2)<\/p>\n<p>= 20 + 18 + 12\u221a10<\/p>\n<p>= 38 + 12\u221a10<\/p>\n<h3><span class=\"ez-toc-section\" id=\"benefits-of-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions\"><\/span>Benefits of RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>RD Sharma is preferred by most of the CBSE students, it is reliable and easy to understand. The most important part is, the question papers will get ready with the help of the questions of RD Sharma. We have mentioned some benefits of RD Sharma in the following points-<\/p>\n<ol>\n<li>Don\u2019t have to fave any problem while understanding.<\/li>\n<li>Solutions are given with shortcuts and easy to understand.<\/li>\n<li>The questions are prepared on the basis of the latest and updated NCERT Syllabus.<\/li>\n<li>Comprehensive and Easy Methods.<\/li>\n<li>The solutions to the questions will be given stepwise.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-3-class-9-maths-exercise-31-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1)- Will the Maths of CBSE Class 9 helps in other exams?<\/strong><\/p>\n<p><strong>Ans)-<\/strong> Yes, the shortcuts and easy solving methods will be used later in the other exams to solve the questions in a limited period of time.<\/p>\n<p><strong>Ques 2)- What is Rationalisation?<\/strong><\/p>\n<p><strong>Ans)- <\/strong>Rationalisation is a procedure in which the rational exponents in the denominator of a fraction are eliminated.<\/p>\n<p><strong>Ques 3)- How many identities are there in the Rationalisation of algebraic expressions?<\/strong><\/p>\n<p><strong>Ans)- <\/strong>There are four algebraic expressions are there as identities, mentioned in the following points-<\/p>\n<p><img class=\"alignnone size-full wp-image-73088\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/3.1.png\" alt=\"RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions\" width=\"449\" height=\"129\"><\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions is based on Rationalisation. The experts of our institute prepare the questions listed in the RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 based on the CBSE syllabus. Rationalization is a procedure in which the rational exponents in the denominator of a fraction are &#8230; <a title=\"RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-3-class-9-maths-exercise-3-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 3 Class 9 Maths Exercise 3.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73089,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73087"}],"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\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=73087"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73087\/revisions"}],"predecessor-version":[{"id":421798,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73087\/revisions\/421798"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73089"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73087"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73087"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73087"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}