{"id":238716,"date":"2025-06-18T10:18:00","date_gmt":"2025-06-18T10:18:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=238716"},"modified":"2025-06-18T10:18:03","modified_gmt":"2025-06-18T10:18:03","slug":"between-what-two-consecutive-numbers-does-the-square-root-85-lie","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/18\/between-what-two-consecutive-numbers-does-the-square-root-85-lie\/","title":{"rendered":"Between what two consecutive numbers does the square root 85 lie"},"content":{"rendered":"\n<p>Between what two consecutive numbers does the square root 85 lie?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The square root of 85 lies between <strong>9 and 10<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation <\/h3>\n\n\n\n<p>To determine between which two consecutive numbers the square root of 85 lies, we start by identifying perfect squares near 85. A perfect square is a number that is the square of an integer. For example, 81 is a perfect square because it equals 9 \u00d7 9, and 100 is also a perfect square because it equals 10 \u00d7 10.<\/p>\n\n\n\n<p>Now let&#8217;s analyze this step by step:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The square root of 81 is exactly 9 because 9 \u00d7 9 = 81.<\/li>\n\n\n\n<li>The square root of 100 is exactly 10 because 10 \u00d7 10 = 100.<\/li>\n<\/ul>\n\n\n\n<p>Since 85 is greater than 81 and less than 100, its square root must be greater than 9 but less than 10. Therefore, \u221a85 lies between the numbers 9 and 10.<\/p>\n\n\n\n<p>We can confirm this more precisely with some approximations:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Try 9.1:<br>9.1 \u00d7 9.1 = 82.81<br>Still less than 85, so \u221a85 > 9.1<\/li>\n\n\n\n<li>Try 9.2:<br>9.2 \u00d7 9.2 = 84.64<br>Still less than 85, so \u221a85 > 9.2<\/li>\n\n\n\n<li>Try 9.3:<br>9.3 \u00d7 9.3 = 86.49<br>Now greater than 85, so \u221a85 &lt; 9.3<\/li>\n<\/ul>\n\n\n\n<p>So, from this approximation, we can say the square root of 85 is somewhere between 9.2 and 9.3. But since the question asks for <strong>consecutive whole numbers<\/strong>, we do not need to find a decimal approximation. We only need to know between which two <strong>whole numbers<\/strong> \u221a85 lies.<\/p>\n\n\n\n<p>Therefore, the final answer is:<br><strong>The square root of 85 lies between 9 and 10.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1066.jpeg\" alt=\"\" class=\"wp-image-238717\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Between what two consecutive numbers does the square root 85 lie? The Correct Answer and Explanation is: The square root of 85 lies between 9 and 10. Explanation To determine between which two consecutive numbers the square root of 85 lies, we start by identifying perfect squares near 85. A perfect square is 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-238716","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238716","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=238716"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238716\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238716"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238716"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238716"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}