{"id":39326,"date":"2025-06-27T06:45:05","date_gmt":"2025-06-27T06:45:05","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=39326"},"modified":"2025-06-27T06:45:07","modified_gmt":"2025-06-27T06:45:07","slug":"find-the-value-of-square-root-of-50625-and-hence-find-the-value-of-square-root-of-506-25-5-0625","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-value-of-square-root-of-50625-and-hence-find-the-value-of-square-root-of-506-25-5-0625\/","title":{"rendered":"find the value of square root of 50625 and hence find the value of square root of 506.25 + 5.0625"},"content":{"rendered":"\n<p>find the value of square root of 50625 and hence find the value of square root of 506.25 + 5.0625<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u221a50625 = <strong>225<\/strong><\/li>\n\n\n\n<li>\u221a506.25 + 5.0625 = <strong>22.5 + 5.0625 = 27.5625<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Full Explanation (300 words):<\/h3>\n\n\n\n<p>To solve this problem, we begin by finding the square root of <strong>50625<\/strong>.<\/p>\n\n\n\n<p>Start with:<\/p>\n\n\n\n<p><strong>\u221a50625<\/strong><\/p>\n\n\n\n<p>Check if 50625 is a perfect square. Since 225\u00b2 = 50625, then:<\/p>\n\n\n\n<p><strong>\u221a50625 = 225<\/strong><\/p>\n\n\n\n<p>Now that we know the square root of 50625, we can use this to help solve the second part:<br><strong>\u221a506.25 + 5.0625<\/strong><\/p>\n\n\n\n<p>We note that <strong>506.25<\/strong> is <strong>50625 \u00f7 100<\/strong>. This is because shifting the decimal two places to the left divides the number by 100. Therefore:<\/p>\n\n\n\n<p><strong>\u221a506.25 = \u221a(50625 \u00f7 100) = \u221a50625 \u00f7 \u221a100 = 225 \u00f7 10 = 22.5<\/strong><\/p>\n\n\n\n<p>So,<\/p>\n\n\n\n<p><strong>\u221a506.25 = 22.5<\/strong><\/p>\n\n\n\n<p>Now add:<\/p>\n\n\n\n<p><strong>22.5 + 5.0625 = 27.5625<\/strong><\/p>\n\n\n\n<p>This gives the final answer for the expression:<\/p>\n\n\n\n<p><strong>\u221a506.25 + 5.0625 = 27.5625<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why this method works:<\/h3>\n\n\n\n<p>The square root of a number tells you what value multiplied by itself gives the original number. In the case of <strong>50625<\/strong>, it is a perfect square, so its root is a whole number. Breaking down 506.25 into <strong>50625 \u00f7 100<\/strong> lets us use our earlier result efficiently. Since the square root of a quotient is the same as the quotient of the square roots, we simplify \u221a506.25 by dividing \u221a50625 by \u221a100.<\/p>\n\n\n\n<p>Adding 5.0625 to this root is straightforward since both are decimal numbers. This approach saves time and avoids unnecessary decimal approximations. Always check if numbers can be rewritten in forms that use known square roots to simplify calculations quickly and accurately.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>find the value of square root of 50625 and hence find the value of square root of 506.25 + 5.0625 The correct answer and explanation is: Correct Answer: Full Explanation (300 words): To solve this problem, we begin by finding the square root of 50625. Start with: \u221a50625 Check if 50625 is a perfect square. [&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-39326","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39326","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=39326"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39326\/revisions"}],"predecessor-version":[{"id":39327,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39326\/revisions\/39327"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39326"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39326"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}