{"id":230721,"date":"2025-06-10T04:17:45","date_gmt":"2025-06-10T04:17:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230721"},"modified":"2025-06-10T04:17:47","modified_gmt":"2025-06-10T04:17:47","slug":"what-is-the-square-root-of-168","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/10\/what-is-the-square-root-of-168\/","title":{"rendered":"what is the square root of 168"},"content":{"rendered":"\n

what is the square root of 168<\/p>\n\n\n\n

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

\u2705 Correct Answer:<\/h3>\n\n\n\n

The square root of 168<\/strong> is approximately 12.9614813977<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

\ud83d\udcd8 Explanation<\/h3>\n\n\n\n

The square root<\/strong> of a number is a value that, when multiplied by itself, gives the original number. So, the square root of 168 is the number which, when squared (multiplied by itself), equals 168.<\/p>\n\n\n\n

In mathematical terms:168\u224812.961\\sqrt{168} \\approx 12.961168\u200b\u224812.961<\/p>\n\n\n\n

To understand this better, let\u2019s first consider perfect squares close to 168:<\/p>\n\n\n\n

    \n
  • 122=14412^2 = 144122=144<\/li>\n\n\n\n
  • 132=16913^2 = 169132=169<\/li>\n<\/ul>\n\n\n\n

    Since 168168168 lies between 144144144 and 169169169, we know that:12<168<1312 < \\sqrt{168} < 1312<168\u200b<13<\/p>\n\n\n\n

    But because 168168168 is just one less than 169169169, its square root will be very close to 13, but slightly less.<\/p>\n\n\n\n

    We can find a more accurate value using long division or a calculator, which gives:168\u224812.9614813977\\sqrt{168} \\approx 12.9614813977168\u200b\u224812.9614813977<\/p>\n\n\n\n

    \ud83d\udcd0 Simplifying Square Root of 168<\/h3>\n\n\n\n

    Sometimes we can simplify square roots by factoring out perfect squares:168=4\u00d742168 = 4 \\times 42168=4\u00d742<\/p>\n\n\n\n

    Since 4 is a perfect square:168=4\u00d742=4\u00d742=242\\sqrt{168} = \\sqrt{4 \\times 42} = \\sqrt{4} \\times \\sqrt{42} = 2\\sqrt{42}168\u200b=4\u00d742\u200b=4\u200b\u00d742\u200b=242\u200b<\/p>\n\n\n\n

    So, the square root of 168 in simplest radical form is:242\\boxed{2\\sqrt{42}}242\u200b\u200b<\/p>\n\n\n\n

    And in decimal form:242\u22482\u00d76.4807=12.96142\\sqrt{42} \\approx 2 \\times 6.4807 = 12.9614242\u200b\u22482\u00d76.4807=12.9614<\/p>\n\n\n\n

    \ud83d\udca1 Summary<\/h3>\n\n\n\n
      \n
    • Square root of 168<\/strong> is approximately 12.961<\/strong>.<\/li>\n\n\n\n
    • In simplest radical form, it is 2\u221a42<\/strong>.<\/li>\n\n\n\n
    • It lies between 12 and 13.<\/li>\n\n\n\n
    • Square roots are used in geometry, physics, engineering, and many real-world applications where quantities grow quadratically.<\/li>\n<\/ul>\n\n\n\n
      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      what is the square root of 168 The Correct Answer and Explanation is: \u2705 Correct Answer: The square root of 168 is approximately 12.9614813977. \ud83d\udcd8 Explanation The square root of a number is a value that, when multiplied by itself, gives the original number. So, the square root of 168 is the number which, when […]<\/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-230721","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230721","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=230721"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230721\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230721"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230721"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}