{"id":156910,"date":"2024-10-17T17:59:21","date_gmt":"2024-10-17T17:59:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156910"},"modified":"2024-10-17T17:59:23","modified_gmt":"2024-10-17T17:59:23","slug":"what-2-integers-is-the-square-root-of-70-between","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/what-2-integers-is-the-square-root-of-70-between\/","title":{"rendered":"What 2 integers is the square root of 70 between"},"content":{"rendered":"\n<p>What 2 integers is the square root of 70 between?<\/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 determine between which two integers the square root of 70 lies, we first identify perfect squares near 70. The perfect squares we should consider are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(8^2 = 64)<\/li>\n\n\n\n<li>(9^2 = 81)<\/li>\n<\/ul>\n\n\n\n<p>Since 70 falls between these two perfect squares (64 and 81), we can conclude that:<\/p>\n\n\n\n<p>[<br>8 &lt; \\sqrt{70} &lt; 9<br>]<\/p>\n\n\n\n<p>This means that the square root of 70 is between the integers 8 and 9. To further validate this, we can find approximate values for the square root.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Estimating the Square Root:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>We know that (\\sqrt{64} = 8) and (\\sqrt{81} = 9). Therefore, we can make a rough estimate of (\\sqrt{70}).<\/li>\n\n\n\n<li>By calculating (8.5^2):<br>[<br>8.5^2 = 72.25<br>]<br>This is greater than 70, so we know (\\sqrt{70} &lt; 8.5).<\/li>\n\n\n\n<li>Next, let\u2019s try (8.4):<br>[<br>8.4^2 = 70.56<br>]<br>This is still greater than 70. Now let\u2019s try (8.3):<br>[<br>8.3^2 = 68.89<br>]<br>Since (68.89 &lt; 70), we find that:<br>[<br>8.3 &lt; \\sqrt{70} &lt; 8.4<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Conclusion:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>From our findings, we see that (\\sqrt{70}) is between 8.3 and 8.4, which reaffirms that it is indeed between the integers 8 and 9.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the square root of 70 lies between the integers <strong>8<\/strong> and <strong>9<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What 2 integers is the square root of 70 between? The Correct Answer and Explanation is : To determine between which two integers the square root of 70 lies, we first identify perfect squares near 70. The perfect squares we should consider are: Since 70 falls between these two perfect squares (64 and 81), we [&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-156910","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156910","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=156910"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156910\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156910"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156910"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156910"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}