{"id":146838,"date":"2024-10-02T05:17:31","date_gmt":"2024-10-02T05:17:31","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=146838"},"modified":"2024-10-02T05:17:33","modified_gmt":"2024-10-02T05:17:33","slug":"find-the-square-root-of-85-correct-to-the-nearest-tenth","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/02\/find-the-square-root-of-85-correct-to-the-nearest-tenth\/","title":{"rendered":"Find the square root of 85 correct to the nearest tenth"},"content":{"rendered":"\n<p>Find the square root of 85 correct to the nearest tenth.<br>A. 9.10<br>B.9.20<br>C. 9.30<br>D. 9.40<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the square root of 85 correct to the nearest tenth, we can follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Square Roots<\/strong>: The square root of a number ( x ) is a value ( y ) such that ( y^2 = x ). In this case, we are looking for ( y = \\sqrt{85} ).<\/li>\n\n\n\n<li><strong>Estimating the Square Root<\/strong>: We know that ( 9^2 = 81 ) and ( 10^2 = 100 ). Therefore, the square root of 85 lies between 9 and 10.<\/li>\n\n\n\n<li><strong>Refining the Estimate<\/strong>: To narrow it down, we can test numbers between 9 and 10. Let&#8217;s start by testing 9.2: [<br>9.2^2 = 9.2 \\times 9.2 = 84.64<br>] Since 84.64 is less than 85, we know that ( \\sqrt{85} ) is greater than 9.2.<\/li>\n\n\n\n<li><strong>Testing 9.3<\/strong>: [<br>9.3^2 = 9.3 \\times 9.3 = 86.49<br>] Here, 86.49 is greater than 85, indicating that ( \\sqrt{85} ) is less than 9.3.<\/li>\n\n\n\n<li><strong>Further Testing Between 9.2 and 9.3<\/strong>: We can now test a value closer to 9.2, such as 9.25. [<br>9.25^2 = 9.25 \\times 9.25 = 85.5625<br>] This result shows that 85.5625 is greater than 85. Next, we try 9.23: [<br>9.23^2 = 9.23 \\times 9.23 = 85.1529<br>] This is still greater than 85. Lastly, let&#8217;s try 9.21: [<br>9.21^2 = 9.21 \\times 9.21 = 84.9441<br>] This value is less than 85. From our tests, we have determined:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 9.21^2 &lt; 85 )<\/li>\n\n\n\n<li>( 9.23^2 > 85 )<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Conclusion<\/strong>: Since 9.22 would yield a square closer to 85, we can conclude that the square root of 85 is approximately ( 9.22 ), which, when rounded to the nearest tenth, gives us <strong>9.3<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>Thus, the answer is <strong>C. 9.30<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Find the square root of 85 correct to the nearest tenth.A. 9.10B.9.20C. 9.30D. 9.40 The Correct Answer and Explanation is : To find the square root of 85 correct to the nearest tenth, we can follow these steps: Thus, the answer is C. 9.30.<\/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-146838","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146838","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=146838"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146838\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146838"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146838"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146838"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}