{"id":245993,"date":"2025-07-06T17:03:28","date_gmt":"2025-07-06T17:03:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=245993"},"modified":"2025-07-06T17:03:30","modified_gmt":"2025-07-06T17:03:30","slug":"what-is-the-square-root-of-5929","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/what-is-the-square-root-of-5929\/","title":{"rendered":"What is the square root of 5929"},"content":{"rendered":"\n<p>What is the square root of 5929? (Please don&#8217;t cheat) 100 points!<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The square root of 5929 can be found through prime factorization. Let\u2019s break it down:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the prime factorization of 5929.<\/h3>\n\n\n\n<p>Start by dividing 5929 by the smallest prime numbers until you reach the prime factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5929 is not divisible by 2 (it\u2019s odd).<\/li>\n\n\n\n<li>Check divisibility by 3: the sum of digits (5 + 9 + 2 + 9 = 25) is not divisible by 3.<\/li>\n\n\n\n<li>Check divisibility by 5: 5929 doesn\u2019t end in 0 or 5, so it\u2019s not divisible by 5.<\/li>\n\n\n\n<li>Check divisibility by 7: 5929\u00f77=847(exact\u00a0division)5929 \\div 7 = 847 \\quad \\text{(exact division)}5929\u00f77=847(exact\u00a0division) Now, we know 5929 = 7 \u00d7 847.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Prime factorize 847.<\/h3>\n\n\n\n<p>Repeat the process with 847:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>847 is not divisible by 2 (it\u2019s odd).<\/li>\n\n\n\n<li>Check divisibility by 3: the sum of digits (8 + 4 + 7 = 19) is not divisible by 3.<\/li>\n\n\n\n<li>Check divisibility by 7: 847\u00f77=121(exact\u00a0division)847 \\div 7 = 121 \\quad \\text{(exact division)}847\u00f77=121(exact\u00a0division) So, 847 = 7 \u00d7 121.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Prime factorize 121.<\/h3>\n\n\n\n<p>Now, factor 121:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>121 is divisible by 11: 121\u00f711=11121 \\div 11 = 11121\u00f711=11 So, 121 = 11 \u00d7 11.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Final prime factorization.<\/h3>\n\n\n\n<p>Combining everything, we get:5929=7\u00d77\u00d711\u00d711=(7\u00d711)2=7725929 = 7 \u00d7 7 \u00d7 11 \u00d7 11 = (7 \u00d7 11)^2 = 77^25929=7\u00d77\u00d711\u00d711=(7\u00d711)2=772<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Find the square root.<\/h3>\n\n\n\n<p>The square root of 5929 is the number whose square gives 5929, so:5929=77\\sqrt{5929} = 775929\u200b=77<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The square root of 5929 is <strong>77<\/strong>. This method uses prime factorization, and we can see that 5929 is a perfect square of 77.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-764.jpeg\" alt=\"\" class=\"wp-image-245994\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the square root of 5929? (Please don&#8217;t cheat) 100 points! The Correct Answer and Explanation is: The square root of 5929 can be found through prime factorization. Let\u2019s break it down: Step 1: Find the prime factorization of 5929. Start by dividing 5929 by the smallest prime numbers until you reach the prime [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-245993","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245993","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=245993"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245993\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=245993"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=245993"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=245993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}