{"id":278957,"date":"2025-08-02T13:35:36","date_gmt":"2025-08-02T13:35:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=278957"},"modified":"2025-08-02T13:35:38","modified_gmt":"2025-08-02T13:35:38","slug":"sqrt23-25","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/02\/sqrt23-25\/","title":{"rendered":"() sqrt(23.25)"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/image-202.png\" alt=\"\" class=\"wp-image-278958\"\/><\/figure>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/p>\n\n\n\n<p>The correct answer is&nbsp;<strong>4.82<\/strong>.<\/p>\n\n\n\n<p>The image displays a mathematical problem asking for the square root of 23.25. The expression is written as F) followed by a radical symbol (\u221a) covering the number &#8220;23,25&#8221;. In many regions outside of the United States, a comma is used as a decimal separator, so the problem is to calculate \u221a23.25.<\/p>\n\n\n\n<p>To find the square root of 23.25, we are looking for a number that, when multiplied by itself, gives 23.25. We can solve this by first converting the decimal into a fraction, which often simplifies the process. The number 23.25 is equivalent to the fraction 2325\/100.<\/p>\n\n\n\n<p>So, the problem becomes finding the square root of \u221a(2325\/100). Using the properties of square roots, we can separate the fraction into the square root of the numerator divided by the square root of the denominator: \u221a2325 \/ \u221a100.<\/p>\n\n\n\n<p>The denominator is easy to calculate: \u221a100 = 10.<\/p>\n\n\n\n<p>For the numerator, we need to simplify \u221a2325. We can do this by finding its prime factors or looking for perfect square factors. Since the number 2325 ends in 25, we know it is divisible by 25, which is a perfect square (5\u00b2). Dividing 2325 by 25 gives 93. So, we can rewrite 2325 as 25 \u00d7 93.<\/p>\n\n\n\n<p>Now, we can simplify the numerator: \u221a2325 = \u221a(25 \u00d7 93) = \u221a25 \u00d7 \u221a93 = 5\u221a93.<\/p>\n\n\n\n<p>Substituting this back into our expression, we get (5\u221a93) \/ 10. This fraction can be simplified by dividing both the numerator and the denominator by 5, which results in (\u221a93) \/ 2. This is the exact and most simplified form of the answer.<\/p>\n\n\n\n<p>Since 93 has no perfect square factors (its prime factors are 3 and 31), \u221a93 is an irrational number. For a practical numerical answer, we calculate its decimal value. The square root of 93 is approximately 9.64365. Dividing this by 2 gives approximately 4.8218. Rounding to two decimal places, the solution is 4.82.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/learnexams-banner5-104.jpeg\" alt=\"\" class=\"wp-image-278959\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;4.82. The image displays a mathematical problem asking for the square root of 23.25. The expression is written as F) followed by a radical symbol (\u221a) covering the number &#8220;23,25&#8221;. In many regions outside of the United States, a comma is used as a decimal separator, [&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-278957","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278957","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=278957"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278957\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=278957"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=278957"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=278957"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}