{"id":61532,"date":"2023-09-07T13:18:00","date_gmt":"2023-09-07T07:48:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=61532"},"modified":"2023-11-24T10:44:02","modified_gmt":"2023-11-24T05:14:02","slug":"rd-sharma-solutions-class-9-maths-chapter-3-rationalization","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/","title":{"rendered":"RD Sharma Solutions Class 9 Maths Chapter 3 &#8211; Rationalization"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-124410\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/11\/RD-Sharma-Solutions-Class-9-Maths-Chapter-3-Rationalisation.png\" alt=\"RD Sharma Solutions Class 9 Maths Chapter 3\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/11\/RD-Sharma-Solutions-Class-9-Maths-Chapter-3-Rationalisation.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/11\/RD-Sharma-Solutions-Class-9-Maths-Chapter-3-Rationalisation-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><span style=\"font-weight: 400;\"><strong>RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization:<\/strong> Are looking for some profound guidebooks to start your mathematics exam preparation? Well, we are here with <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths<\/a> Chapter 3 for you to check out. Not only it is a proven guidebook that helps students with robust Class 9 Maths exam preparation, but also one of the significant options of maths solutions that you can rely upon.<\/span><\/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-69e9ce5d6575f\" 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-69e9ce5d6575f\"><\/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-solutions-class-9-maths-chapter-3-rationalization\/#download-rd-sharma-solutions-class-9-maths-chapter-3-rationalization-pdf\" title=\"Download RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization: PDF\">Download RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization: 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-solutions-class-9-maths-chapter-3-rationalization\/#class-9-maths-rd-sharma-solutions-chapter-3-rationalization-exercise-wise-solutions\" title=\"Class 9 Maths RD Sharma Solutions Chapter 3 Rationalization: Exercise-wise Solutions\">Class 9 Maths RD Sharma Solutions Chapter 3 Rationalization: Exercise-wise Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#access-answers-of-rd-sharma-solutions-class-9-maths-chapter-3\" title=\"Access answers of RD Sharma Solutions Class 9 Maths Chapter 3\">Access answers of RD Sharma Solutions Class 9 Maths Chapter 3<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#exercise-31\" title=\"Exercise 3.1\">Exercise 3.1<\/a><\/li><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-solutions-class-9-maths-chapter-3-rationalization\/#exercise-32\" title=\"Exercise 3.2\">Exercise 3.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#exercise-vsaqs\" title=\"Exercise VSAQs\">Exercise VSAQs<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#using-identity-a-ba-%e2%80%93-b-a2-%e2%80%93-b2\" title=\"[Using identity : (a + b)(a \u2013 b) = a2\u00a0\u2013 b2]\">[Using identity : (a + b)(a \u2013 b) = a2\u00a0\u2013 b2]<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#important-topics-rd-sharma-solutions-class-9-maths-chapter-3\" title=\"Important Topics: RD Sharma Solutions Class 9 Maths Chapter 3\">Important Topics: RD Sharma Solutions Class 9 Maths Chapter 3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#faqs-on-rd-sharma-solutions-class-9-maths-chapter-3-%e2%80%93-rationalization\" title=\"FAQs on RD Sharma Solutions Class 9 Maths Chapter 3 &#8211; Rationalization\">FAQs on RD Sharma Solutions Class 9 Maths Chapter 3 &#8211; Rationalization<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#from-where-can-i-download-the-pdf-of-rd-sharma-solutions-class-9-maths-chapter-3\" title=\"From where can I download the PDF of RD Sharma Solutions Class 9 Maths Chapter 3?\">From where can I download the PDF of RD Sharma Solutions Class 9 Maths Chapter 3?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#how-much-does-it-cost-to-download-the-pdf-of-rd-sharma-solutions-for-class-9-maths-chapter-3\" title=\"How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 3?\">How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 3?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/#can-i-access-the-rd-sharma-solutions-for-class-9-maths-chapter-3-pdf-offline\" title=\"Can I access the RD Sharma Solutions for Class 9 Maths Chapter 3\u00a0PDF offline?\">Can I access the RD Sharma Solutions for Class 9 Maths Chapter 3\u00a0PDF offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-9-maths-chapter-3-rationalization-pdf\"><\/span><strong>Download RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization: PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/11\/rd-3-1.pdf\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Maths Chapter 3\u00a0<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/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\/2020\/11\/rd-3-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"class-9-maths-rd-sharma-solutions-chapter-3-rationalization-exercise-wise-solutions\"><\/span><strong>Class 9 Maths RD Sharma Solutions Chapter 3 Rationalization: Exercise-wise Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-3-class-9-maths-exercise-3-1-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Chapter 3 Exercise 3.1<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-3-class-9-maths-exercise-3-2-solutions\/\" target=\"_blank\" rel=\"noopener\">RD Sharma Solutions Class 9 Chapter 3 Exercise 3.2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"access-answers-of-rd-sharma-solutions-class-9-maths-chapter-3\"><\/span><strong>Access answers of <\/strong><strong>RD Sharma Solutions Class 9 Maths Chapter 3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"exercise-31\"><\/span>Exercise 3.1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Simplify each of the following:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/class-9-maths-chapter-3-rationalisation.png\" alt=\"Class 9 Maths Chapter 3 Rationalisation\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/class-9-maths-chapter-3-rationalisation-1.png\" alt=\"Class 9 Maths Chapter 3 Rationalisation\" \/><\/p>\n<p><strong>(ii)<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/class-9-maths-chapter-3-rationalisation-2.png\" alt=\"Class 9 Maths Chapter 3 Rationalisation\" \/><\/p>\n<p><strong>Question 2: Simplify the following expressions:<\/strong><\/p>\n<p><strong>(i) (4 + \u221a7) (3 + \u221a2)<\/strong><\/p>\n<p><strong>(ii) (3 + \u221a3)(5- \u221a2 )<\/strong><\/p>\n<p><strong>(iii) (\u221a5 -2)( \u221a3 \u2013 \u221a5)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0(4 + \u221a7) (3 + \u221a2)<\/p>\n<p><em>= 12 + 4\u221a2 + 3\u221a7 + \u221a14<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a0(3 + \u221a3)(5- \u221a2 )<\/p>\n<p><em>= 15 \u2013 3\u221a2 + 5\u221a3 \u2013 \u221a6<\/em><\/p>\n<p><strong>(iii)<\/strong>\u00a0(\u221a5 -2)( \u221a3 \u2013 \u221a5)<\/p>\n<p>= \u221a15 \u2013 \u221a25 \u2013 2\u221a3 + 2\u221a5<\/p>\n<p><em>= \u221a15 \u2013 5 \u2013 2\u221a3 + 2\u221a5<\/em><\/p>\n<p><strong>Question 3: Simplify the following expressions:<\/strong><\/p>\n<p><strong>(i) (11 + \u221a11) (11 \u2013 \u221a11)<\/strong><\/p>\n<p><strong>(ii) (5 + \u221a7) (5 \u2013\u221a7 )<\/strong><\/p>\n<p><strong>(iii) (\u221a8 \u2013 \u221a2 ) (\u221a8 + \u221a2 )<\/strong><\/p>\n<p><strong>(iv) (3 + \u221a3) (3 \u2013 \u221a3)<\/strong><\/p>\n<p><strong>(v) (\u221a5 \u2013 \u221a2) (\u221a5 + \u221a2)<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>Using Identity: (a \u2013 b)(a+b) = a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup><\/p>\n<p><strong>(i)<\/strong>\u00a0(11 + \u221a11) (11 \u2013 \u221a11)<\/p>\n<p>= 11<sup>2<\/sup>\u00a0\u2013 (\u221a11)<sup>2<\/sup><\/p>\n<p>= 121 \u2013 11<\/p>\n<p><em>= 110<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a0(5 + \u221a7) (5 \u2013\u221a7 )<\/p>\n<p>= (5<sup>2<\/sup>\u00a0\u2013 (\u221a7)<sup>2<\/sup>\u00a0)<\/p>\n<p>= 25 \u2013 7\u00a0<em>= 18<\/em><\/p>\n<p><strong>(iii)<\/strong>\u00a0(\u221a8 \u2013 \u221a2 ) (\u221a8 + \u221a2 )<\/p>\n<p>= (\u221a8)<sup>2<\/sup>\u00a0\u2013 (\u221a2 )\u00a0<sup>2<\/sup><\/p>\n<p>= 8 -2<\/p>\n<p><em>= 6<\/em><\/p>\n<p><strong>(iv)<\/strong>\u00a0(3 + \u221a3) (3 \u2013 \u221a3)<\/p>\n<p>= (3)<sup>2<\/sup>\u00a0\u2013 (\u221a3)<sup>2<\/sup><\/p>\n<p>= 9 \u2013 3<\/p>\n<p><em>= 6<\/em><\/p>\n<p><strong>(v)<\/strong>\u00a0(\u221a5 \u2013 \u221a2) (\u221a5 + \u221a2)<\/p>\n<p>=(\u221a5)<sup>2<\/sup>\u00a0\u2013 (\u221a2)<sup>2<\/sup><\/p>\n<p>= 5 \u2013 2<\/p>\n<p><em>= 3<\/em><\/p>\n<p><strong>Question 4: Simplify the following expressions:<\/strong><\/p>\n<p><strong>(i) (\u221a3 + \u221a7)<sup>2<\/sup><\/strong><\/p>\n<p><strong>(ii) (\u221a5 \u2013 \u221a3)<sup>2<\/sup><\/strong><\/p>\n<p><strong>(iii) (2\u221a5 + 3\u221a2 )<sup>2<\/sup><\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>Using identities: (a \u2013 b)<sup>2<\/sup>\u00a0= a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0\u2013 2ab and (a + b)<sup>2<\/sup>\u00a0= a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 2ab<\/p>\n<p><strong>(i)<\/strong>\u00a0(\u221a3 + \u221a7)<sup>2<\/sup><\/p>\n<p>= (\u221a3)<sup>2<\/sup>\u00a0+ (\u221a7)<sup>2<\/sup>\u00a0+ 2(\u221a3)( \u221a7)<\/p>\n<p>= 3 + 7 + 2\u221a21<\/p>\n<p><em>= 10 + 2\u221a21<\/em><\/p>\n<p>\u00a0<\/p>\n<p><strong>(ii)<\/strong>\u00a0(\u221a5 \u2013 \u221a3)<sup>2<\/sup><\/p>\n<p>= (\u221a5)<sup>2<\/sup>\u00a0+ (\u221a3)<sup>2\u00a0<\/sup>\u2013 2(\u221a5)( \u221a3)<\/p>\n<p>= 5 + 3 \u2013 2\u221a15<\/p>\n<p><em>= 8 \u2013 2\u221a15<\/em><\/p>\n<p><strong>(iii)<\/strong>\u00a0(2\u221a5 + 3\u221a2 )<sup>2<\/sup><\/p>\n<p>= (2\u221a5)<sup>2<\/sup>\u00a0+ (3\u221a2 )<sup>2\u00a0<\/sup>+ 2(2\u221a5 )( 3\u221a2)<\/p>\n<p>= 20 + 18 + 12\u221a10<\/p>\n<p><em>= 38 + 12\u221a10<\/em><\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercise-32\"><\/span>Exercise 3.2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Rationalise the denominators of each of the following (i \u2013 vii):<\/strong><\/p>\n<p><strong>(i) 3\/ \u221a5 (ii) 3\/(2 \u221a5) (iii) 1\/ \u221a12 (iv) \u221a2\/ \u221a5<\/strong><\/p>\n<p><strong>(v) (\u221a3 + 1)\/ \u221a2 (vi) (\u221a2 + \u221a5)\/ \u221a3 (vii) 3 \u221a2\/ \u221a5<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><strong>(i)\u00a0<\/strong>Multiply both the numerator and denominator with the same number to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 1\" \/><\/p>\n<p><em>= 3\u221a5\/5<\/em><\/p>\n<p><strong>(ii)<\/strong>\u00a0Multiply both the numerator and denominator with the same number to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-1.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 2\" \/><\/p>\n<p><strong>(iii)<\/strong>\u00a0Multiply both the numerator and denominator with the same number to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-2.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 3\" \/><\/p>\n<p><strong>(iv)<\/strong>\u00a0Multiply both the numerator and denominator with the same number to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-3.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 4\" \/><\/p>\n<p><strong>(v)<\/strong>\u00a0Multiply both the numerator and denominator with the same number to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-4.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 5\" \/><\/p>\n<p><strong>(vi)<\/strong>\u00a0Multiply both the numerator and denominator with the same number to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-5.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 6\" \/><\/p>\n<p><strong>(vii)<\/strong>\u00a0Multiply both the numerator and denominator with the same number to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-6.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 part 7\" \/><\/p>\n<p><strong>Question 2: Find the value to three places of decimals of each of the following. It is given that<\/strong><\/p>\n<p><strong>\u221a2 = 1.414, \u221a3 = 1.732, \u221a5 = 2.236 and \u221a10 = 3.162<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-7.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 2\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-8.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 1 solution\" \/><br \/><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-9.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 2 solution\" \/><br \/><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-10.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 2 solutions\" \/><\/p>\n<p><strong>Question 3: Express each one of the following with a rational denominator:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-11.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>Using identity: (a + b) (a \u2013 b) = a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup><\/p>\n<p><strong>(i)<\/strong>\u00a0Multiply and divide the given number by 3\u2212\u221a2<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-12.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 1\" \/><\/p>\n<p><strong>(ii)<\/strong>\u00a0Multiply and divide the given number by \u221a6 + \u221a5<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-13.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 2\" \/><\/p>\n<p><strong>(iii)<\/strong>\u00a0Multiply and divide the given number by \u221a41 + 5<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-14.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 3\" \/><\/p>\n<p><strong>(iv)<\/strong>\u00a0Multiply and divide the given number by 5\u221a3 + 3\u221a5<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-15.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 4\" \/><\/p>\n<p><strong>(v)<\/strong>\u00a0Multiply and divide the given number by 2\u221a5 + \u221a3<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-16.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 5\" \/><\/p>\n<p><strong>(vi)<\/strong>\u00a0Multiply and divide the given number by 2\u221a2 + \u221a3<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-17.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 6\" \/><\/p>\n<p><strong>(vii)<\/strong>\u00a0Multiply and divide the given number by 6 \u2013 4\u221a2<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-18.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 7\" \/><\/p>\n<p><strong>(viii)<\/strong>\u00a0Multiply and divide the given number by 2\u221a5 + 3<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-19.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 8\" \/><\/p>\n<p><strong>(ix)<\/strong>\u00a0Multiply and divide the given number by \u221a(a<sup>2<\/sup>+b<sup>2<\/sup>) \u2013 a<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-20.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 3 part 9\" \/><\/p>\n<p><strong>Question 4: Rationales the denominator and simplify:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-21.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 4\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><em>[Use identities: (a + b) (a \u2013 b) = a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>\u00a0; (a + b)<sup>2<\/sup>\u00a0= (a<sup>2<\/sup>\u00a0+ 2ab + b<sup>2<\/sup>\u00a0and (a \u2013 b)<sup>2<\/sup>\u00a0= (a<sup>2<\/sup>\u00a0\u2013 2ab + b<sup>2<\/sup>\u00a0]<\/em><\/p>\n<p><strong>(i)<\/strong>\u00a0Multiply both numerator and denominator by \u221a3\u2013\u221a2 to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-22.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 1\" \/><\/p>\n<p><strong>(ii)<\/strong>\u00a0Multiply both numerator and denominator by 7\u20134\u221a3 to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-23.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 2\" \/><\/p>\n<p><strong>(iii)<\/strong>\u00a0Multiply both numerator and denominator by 3+2\u221a2 to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-24.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 3\" \/><\/p>\n<p><strong>(iv)<\/strong>\u00a0Multiply both numerator and denominator by 3\u221a5+2\u221a6 to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-25.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 4\" \/><\/p>\n<p><strong>(v)<\/strong>\u00a0Multiply both numerator and denominator by \u221a48\u2013\u221a18 to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-26.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 5\" \/><\/p>\n<p><strong>(vi)<\/strong>\u00a0Multiply both numerator and denominator by 2\u221a2 \u2013 3\u221a3 to rationalise the denominator.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-ex-3-2-question-27.png\" alt=\"RD sharma class 9 maths chapter 3 ex 3.2 question 4 part 6\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"exercise-vsaqs\"><\/span>Exercise VSAQs<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Write the value of (2 + \u221a3) (2 \u2013 \u221a3).<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(2 + \u221a3) (2 \u2013 \u221a3)<\/p>\n<p>= (2)<sup>2<\/sup>\u00a0\u2013 (\u221a3)<sup>2<\/sup><\/p>\n<h3><span class=\"ez-toc-section\" id=\"using-identity-a-ba-%e2%80%93-b-a2-%e2%80%93-b2\"><\/span>[Using identity : (a + b)(a \u2013 b) = a<sup>2<\/sup>\u00a0\u2013 b<sup>2<\/sup>]<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>= 4 \u2013 3<\/p>\n<p><em>= 1<\/em><\/p>\n<p><strong>Question 2: Write the reciprocal of 5 + \u221a2.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 2\" \/><\/p>\n<p><strong>Question 3: Write the rationalisation factor of 7 \u2013 3\u221a5.<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>The rationalisation factor of 7 \u2013 3\u221a5 is 7 + 3\u221a5<\/p>\n<p><strong>Question 4: If<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu-1.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 4\" \/><\/p>\n<p><strong>Find the values of x and y.<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><em>[Using identities : (a + b)(a \u2013 b) = a<sup>2<\/sup>\u00a0\u2013 b<sup>2\u00a0<\/sup>and (a \u2013 b)<sup>2<\/sup>\u00a0= a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0\u2013 2ab]<\/em><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu-2.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 4 solution\" \/><\/p>\n<p><strong>Question 5: If x = \u221a2 \u2013 1, then write the value of 1\/x.<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>x = \u221a2 \u2013 1<\/p>\n<p>or 1\/x = 1\/(\u221a2 \u2013 1)<\/p>\n<p>Rationalising denominator, we have<\/p>\n<p>= 1\/(\u221a2 \u2013 1) x (\u221a2 + 1)\/(\u221a2 + 1)<\/p>\n<p>= (\u221a2 + 1)\/(2-1)<\/p>\n<p><em>= \u221a2 + 1<\/em><\/p>\n<p><strong>Question 6: Simplify<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu-3.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 6\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu-4.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 6 solution\" \/><\/p>\n<p><em>[ Because: (a + b)<sup>2<\/sup>\u00a0= a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0+ 2ab ]<\/em><\/p>\n<p><strong>Question 7: Simplify<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu-5.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 7\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu-6.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 7 solution\" \/><\/p>\n<p><em>[ Because: (a \u2013 b)<sup>2<\/sup>\u00a0= a<sup>2<\/sup>\u00a0+ b<sup>2<\/sup>\u00a0\u2013 2ab ]<\/em><\/p>\n<p><strong>Question 8:\u00a0<\/strong>If a = \u221a2 +1, then find the value of a \u2013 1\/a.<\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>Given: a = \u221a2 + 1<\/p>\n<p>1\/a = 1\/(\u221a2 + 1)<\/p>\n<p>= 1\/(\u221a2 + 1) x (\u221a2 \u2013 1)\/(\u221a2 \u2013 1)<\/p>\n<p>= (\u221a2 \u2013 1)\/ ((\u221a2)<sup>2<\/sup>\u00a0\u2013 (1)<sup>2<\/sup>)<\/p>\n<p>= (\u221a2 \u2013 1)\/1<\/p>\n<p>= \u221a2 \u2013 1<\/p>\n<p>Now,<\/p>\n<p>a \u2013 1\/a = (\u221a2 + 1) \u2013 (\u221a2 \u2013 1)<\/p>\n<p><em>= 2<\/em><\/p>\n<p><strong>Question 9: If x = 2 + \u221a3, find the value of x + 1\/x.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given: x = 2 + \u221a3<\/p>\n<p>1\/x = 1\/(2 + \u221a3)<\/p>\n<p>= 1\/(2 + \u221a3) x (2 \u2013 \u221a3)\/(2 \u2013 \u221a3)<\/p>\n<p>= (2 \u2013 \u221a3)\/ ((2)<sup>2<\/sup>\u00a0\u2013 (\u221a3)<sup>2<\/sup>)<\/p>\n<p>= (2 \u2013 \u221a3)\/(4-3)<\/p>\n<p>= (2 \u2013 \u221a3)<\/p>\n<p>Now,<\/p>\n<p>x + 1\/x = (2 + \u221a3) + (2 \u2013 \u221a3)<\/p>\n<p><em>= 4<\/em><\/p>\n<p><strong>Question 10: Write the rationalisation factor of \u221a5 \u2013 2.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>The rationalisation factor of \u221a5 \u2013 2 is \u221a5 + 2<\/p>\n<p><strong>Question 11: If x = 3 + 2\u221a2, then find the value of \u221ax \u2013 1\/\u221ax.<\/strong><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Rationalisation\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-3-short-answers-qu-7.png\" alt=\"rd sharma class 9 maths chapter 3 Short answers question 11 solution\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-topics-rd-sharma-solutions-class-9-maths-chapter-3\"><\/span><strong>Important Topics: RD Sharma Solutions Class 9 Maths Chapter 3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">The chapter comprises the three most vital topics that you need to have a look at. These are &#8211;<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Rationalization Introduction<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Rationalization of the denominator<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Some important algebraic identities<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Well, this is everything that you need to complete your maths syllabus on time. <\/span><span style=\"font-weight: 400;\">RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization is exactly what you need to study in the 3rd chapter from the class 9 maths syllabus. If you have any doubts regarding the <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 9 Maths exams, ask in the comments.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-class-9-maths-chapter-3-%e2%80%93-rationalization\"><\/span><strong>FAQs on RD Sharma Solutions Class 9 Maths Chapter 3 &#8211; Rationalization<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630658518056\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-download-the-pdf-of-rd-sharma-solutions-class-9-maths-chapter-3\"><\/span>From where can I download the PDF of RD Sharma Solutions Class 9 Maths Chapter 3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1630658544146\" class=\"rank-math-list-item\">\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-3\"><\/span>How much does it cost to download the PDF of RD Sharma Solutions for Class 9 Maths Chapter 3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download it for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1630658567802\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-solutions-for-class-9-maths-chapter-3-pdf-offline\"><\/span>Can I access the RD Sharma Solutions for Class 9 Maths Chapter 3\u00a0PDF offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the PDF online, you can access it offline as well.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 9 Maths Chapter 3 Rationalization: Are looking for some profound guidebooks to start your mathematics exam preparation? Well, we are here with RD Sharma Solutions Class 9 Maths Chapter 3 for you to check out. Not only it is a proven guidebook that helps students with robust Class 9 Maths exam &#8230; <a title=\"RD Sharma Solutions Class 9 Maths Chapter 3 &#8211; Rationalization\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-3-rationalization\/\" aria-label=\"More on RD Sharma Solutions Class 9 Maths Chapter 3 &#8211; Rationalization\">Read more<\/a><\/p>\n","protected":false},"author":243,"featured_media":124410,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411,73410],"tags":[3081,3037,3086],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61532"}],"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=61532"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61532\/revisions"}],"predecessor-version":[{"id":511883,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/61532\/revisions\/511883"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/124410"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=61532"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=61532"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=61532"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}