{"id":154158,"date":"2024-10-13T22:59:14","date_gmt":"2024-10-13T22:59:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=154158"},"modified":"2024-10-13T22:59:16","modified_gmt":"2024-10-13T22:59:16","slug":"what-are-the-square-roots-of-100","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/13\/what-are-the-square-roots-of-100\/","title":{"rendered":"What are the square roots of 100"},"content":{"rendered":"\n<p>What are the square roots of 100? Check all that apply.<br>A. 5<br>B. 10.5<br>C. -10<br>D. 10<br>E. -5<br>F. |10|<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answers are:<\/p>\n\n\n\n<p>C. -10<br>D. 10<br>F. |10|<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To understand the square roots of 100, we first need to define what a square root is. The square root of a number ( x ) is a number ( y ) such that ( y^2 = x ). For 100, this means we are looking for numbers ( y ) such that ( y^2 = 100 ).<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">1. <strong>Positive Square Root:<\/strong><\/h4>\n\n\n\n<p>The positive square root of 100 is straightforward. We know:<br>[ 10^2 = 100 ]<br>Therefore, one of the square roots of 100 is ( 10 ), which corresponds to option <strong>D<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">2. <strong>Negative Square Root:<\/strong><\/h4>\n\n\n\n<p>Square roots can also be negative because multiplying two negative numbers results in a positive number. For example:<br>[ (-10)^2 = 100 ]<br>Thus, the negative square root of 100 is ( -10 ), corresponding to option <strong>C<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">3. <strong>Absolute Value:<\/strong><\/h4>\n\n\n\n<p>The notation ( |10| ) refers to the absolute value of 10, which is always positive, regardless of the sign of the number inside the absolute value bars. In this case:<br>[ |10| = 10 ]<br>Since ( |10| ) equals 10, this also represents the positive square root of 100, corresponding to option <strong>F<\/strong>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Why are the other options incorrect?<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A. 5:<\/strong> The square of 5 is ( 5^2 = 25 ), not 100.<\/li>\n\n\n\n<li><strong>B. 10.5:<\/strong> The square of 10.5 is ( 10.5^2 = 110.25 ), which is not equal to 100.<\/li>\n\n\n\n<li><strong>E. -5:<\/strong> The square of -5 is ( (-5)^2 = 25 ), not 100.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, the correct answers are <strong>C, D, and F<\/strong>. The square roots of 100 are 10 and -10, while ( |10| ) represents the positive root.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What are the square roots of 100? Check all that apply.A. 5B. 10.5C. -10D. 10E. -5F. |10| The Correct Answer and Explanation is: The correct answers are: C. -10D. 10F. |10| Explanation: To understand the square roots of 100, we first need to define what a square root is. The square root of a number [&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-154158","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154158","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=154158"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/154158\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=154158"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=154158"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=154158"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}