{"id":249795,"date":"2025-07-09T21:19:18","date_gmt":"2025-07-09T21:19:18","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249795"},"modified":"2025-07-09T21:19:20","modified_gmt":"2025-07-09T21:19:20","slug":"how-do-you-simplify-10-square-root-96","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/how-do-you-simplify-10-square-root-96\/","title":{"rendered":"How do you simplify 10 square root 96"},"content":{"rendered":"\n

How do you simplify 10 square root 96<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To simplify 109610 \\sqrt{96}1096\u200b, let’s break it down step-by-step.<\/p>\n\n\n\n

Step 1: Simplify 96\\sqrt{96}96\u200b<\/h3>\n\n\n\n

Start by factoring 96 into its prime factors: 96=25\u00d7396 = 2^5 \\times 396=25\u00d73<\/p>\n\n\n\n

Now, we can break the square root into the square root of the factors: 96=25\u00d73=24\u00d72\u00d73\\sqrt{96} = \\sqrt{2^5 \\times 3} = \\sqrt{2^4 \\times 2 \\times 3}96\u200b=25\u00d73\u200b=24\u00d72\u00d73\u200b<\/p>\n\n\n\n

Since 24=22=4\\sqrt{2^4} = 2^2 = 424\u200b=22=4, we can simplify: 96=46\\sqrt{96} = 4\\sqrt{6}96\u200b=46\u200b<\/p>\n\n\n\n

Step 2: Multiply by 10<\/h3>\n\n\n\n

Now, substitute 96\\sqrt{96}96\u200b with 464\\sqrt{6}46\u200b into the original expression: 1096=10\u00d746=40610\\sqrt{96} = 10 \\times 4\\sqrt{6} = 40\\sqrt{6}1096\u200b=10\u00d746\u200b=406\u200b<\/p>\n\n\n\n

Final Answer:<\/h3>\n\n\n\n

Thus, 109610\\sqrt{96}1096\u200b simplifies to 40640\\sqrt{6}406\u200b.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n
    \n
  • First, we factor 96 to find the perfect square part (in this case 242^424) and the remaining factor (the 2\u00d732 \\times 32\u00d73 part).<\/li>\n\n\n\n
  • By simplifying 96\\sqrt{96}96\u200b, we get 464\\sqrt{6}46\u200b because 24=4\\sqrt{2^4} = 424\u200b=4.<\/li>\n\n\n\n
  • Finally, we multiply the result by 10 to get 40640\\sqrt{6}406\u200b.<\/li>\n<\/ul>\n\n\n\n

    This process makes it easier to work with square roots by removing the unnecessary complexity of large numbers inside the square root, making the expression more manageable.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    How do you simplify 10 square root 96 The Correct Answer and Explanation is: To simplify 109610 \\sqrt{96}1096\u200b, let’s break it down step-by-step. Step 1: Simplify 96\\sqrt{96}96\u200b Start by factoring 96 into its prime factors: 96=25\u00d7396 = 2^5 \\times 396=25\u00d73 Now, we can break the square root into the square root of the factors: 96=25\u00d73=24\u00d72\u00d73\\sqrt{96} […]<\/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-249795","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249795","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=249795"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249795\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}