{"id":162803,"date":"2024-11-07T13:03:05","date_gmt":"2024-11-07T13:03:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162803"},"modified":"2024-11-07T13:03:08","modified_gmt":"2024-11-07T13:03:08","slug":"what-is-the-square-root-for-3%e2%88%9a729","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/07\/what-is-the-square-root-for-3%e2%88%9a729\/","title":{"rendered":"What is the square root for 3\u221a729"},"content":{"rendered":"\n

What is the square root for 3\u221a729.<\/p>\n\n\n\n

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

Let’s start by solving ( 3\\sqrt{729} ) and then find the square root of that result.<\/p>\n\n\n\n

    \n
  1. Step 1: Calculate the cube root of 729.<\/strong> The cube root of a number ( a ) is the value ( b ) such that ( b^3 = a ). [
    3\\sqrt{729} = 9
    ] This is because ( 9^3 = 729 ).<\/li>\n\n\n\n
  2. Step 2: Calculate the square root of the result (9).<\/strong> The square root of a number ( c ) is the value ( d ) such that ( d^2 = c ). [
    \\sqrt{9} = 3
    ]<\/li>\n<\/ol>\n\n\n\n

    So, the answer to the expression ( \\sqrt{3\\sqrt{729}} ) is 3<\/strong>.<\/p>\n\n\n\n

    Explanation<\/h3>\n\n\n\n

    Let\u2019s break down the steps in more detail.<\/p>\n\n\n\n

    When working with radicals (roots), it\u2019s useful to understand what each symbol means. The cube root<\/strong> (symbolized as ( 3\\sqrt{} )) finds the number which, when multiplied by itself three times, gives the original number. In this case, ( 3\\sqrt{729} ) means finding the cube root of 729, which is 9. We know this because ( 9 \\times 9 \\times 9 = 729 ).<\/p>\n\n\n\n

    Once we find the cube root, we then apply the square root<\/strong> operation to that result. The square root operation is finding the number which, when multiplied by itself, equals the original number. So, after finding ( 3\\sqrt{729} = 9 ), we then find ( \\sqrt{9} ), which equals 3.<\/p>\n\n\n\n

    Thus, each root operation reduces the value closer to the \u201ccore\u201d number.<\/p>\n","protected":false},"excerpt":{"rendered":"

    What is the square root for 3\u221a729. The Correct Answer and Explanation is : Let’s start by solving ( 3\\sqrt{729} ) and then find the square root of that result. So, the answer to the expression ( \\sqrt{3\\sqrt{729}} ) is 3. Explanation Let\u2019s break down the steps in more detail. When working with radicals (roots), […]<\/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-162803","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162803","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=162803"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162803\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162803"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162803"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162803"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}