{"id":24644,"date":"2025-06-18T16:37:26","date_gmt":"2025-06-18T16:37:26","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24644"},"modified":"2025-06-18T16:37:27","modified_gmt":"2025-06-18T16:37:27","slug":"true-or-false-is-the-square-root-of-625-a-rational-number","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/true-or-false-is-the-square-root-of-625-a-rational-number\/","title":{"rendered":"True or False: Is the square root of 625 a rational number"},"content":{"rendered":"\n<p>True or False: Is the square root of 625 a rational number?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: True<\/strong><\/p>\n\n\n\n<p>The square root of 625 is a <strong>rational number<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p>To determine whether the square root of 625 is rational, we first need to understand what a <strong>rational number<\/strong> is.<\/p>\n\n\n\n<p>A <strong>rational number<\/strong> is any number that can be written as a <strong>fraction<\/strong> (or ratio) of two integers. That means if a number can be expressed as <strong>a\/b<\/strong>, where <strong>a<\/strong> and <strong>b<\/strong> are whole numbers and <strong>b \u2260 0<\/strong>, it is rational. Rational numbers include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All <strong>integers<\/strong> (since they can be written as themselves over 1, like 5 = 5\/1),<\/li>\n\n\n\n<li>All <strong>fractions<\/strong> (like 3\/4),<\/li>\n\n\n\n<li>All <strong>finite decimals<\/strong> (like 0.5),<\/li>\n\n\n\n<li>All <strong>repeating decimals<\/strong> (like 0.333&#8230;).<\/li>\n<\/ul>\n\n\n\n<p>Now let\u2019s look at the square root of 625: 625=25\\sqrt{625} = 25<\/p>\n\n\n\n<p>This is because: 25\u00d725=62525 \\times 25 = 625<\/p>\n\n\n\n<p>Since 25 is a <strong>whole number<\/strong>, and whole numbers are a subset of <strong>integers<\/strong>, and integers can be written as fractions (e.g., 25 = 25\/1), 25 is a <strong>rational number<\/strong>.<\/p>\n\n\n\n<p>Therefore, the <strong>square root of 625 is rational<\/strong> because it simplifies to an integer, which qualifies as rational.<\/p>\n\n\n\n<p>In contrast, if a number had a square root that resulted in a <strong>non-repeating, non-terminating decimal<\/strong> (like \u221a2 \u2248 1.4142135\u2026), then it would be <strong>irrational<\/strong>. But that\u2019s not the case with 625.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p><strong>True<\/strong> \u2013 The square root of 625 is a rational number because it equals 25, which is a whole number and can be written as a fraction (25\/1).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>True or False: Is the square root of 625 a rational number? The correct answer and explanation is: Correct Answer: True The square root of 625 is a rational number. Explanation (300 words): To determine whether the square root of 625 is rational, we first need to understand what a rational number is. A rational [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24644","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24644","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24644"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24644\/revisions"}],"predecessor-version":[{"id":24645,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24644\/revisions\/24645"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}