{"id":23537,"date":"2025-06-17T17:04:42","date_gmt":"2025-06-17T17:04:42","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=23537"},"modified":"2025-06-17T17:04:46","modified_gmt":"2025-06-17T17:04:46","slug":"find-the-square-root-of-2-2-correct-to-two-place-of-decimal","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-square-root-of-2-2-correct-to-two-place-of-decimal\/","title":{"rendered":"find the square root of 2.2 correct to two place of decimal"},"content":{"rendered":"\n<p>find the square root of 2.2 correct to two place of decimal<\/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:<\/strong><br>The square root of 2.2, correct to <strong>two decimal places<\/strong>, is <strong>1.48<\/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 find the square root of a number like <strong>2.2<\/strong> to two decimal places, we are essentially looking for a number which, when multiplied by itself, gives us a value as close as possible to 2.2.<\/p>\n\n\n\n<p>We can use either:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>A calculator<\/strong>, or<\/li>\n\n\n\n<li><strong>A method like trial and error or the long division method<\/strong>.<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Step-by-step (Trial and Error Method)<\/strong><\/h4>\n\n\n\n<p>We begin by identifying two perfect squares near 2.2:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u221a1 = 1<\/li>\n\n\n\n<li>\u221a4 = 2<br>So \u221a2.2 is between <strong>1<\/strong> and <strong>2<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Try squaring some values between 1 and 2:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1.4\u00b2 = 1.96<\/li>\n\n\n\n<li>1.5\u00b2 = 2.25<br>So \u221a2.2 is between 1.4 and 1.5.<\/li>\n<\/ul>\n\n\n\n<p>Now, narrow it down:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1.47\u00b2 = 2.1609<\/li>\n\n\n\n<li>1.48\u00b2 = 2.1904<\/li>\n\n\n\n<li>1.49\u00b2 = 2.2201<\/li>\n<\/ul>\n\n\n\n<p>Now observe:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1.48\u00b2 = 2.1904 (very close to 2.2)<\/li>\n\n\n\n<li>1.49\u00b2 = 2.2201 (slightly over 2.2)<\/li>\n<\/ul>\n\n\n\n<p>So \u221a2.2 \u2248 <strong>1.48<\/strong> is a better estimate than 1.49.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Using a Calculator<\/strong><\/h4>\n\n\n\n<p>Typing \u201c\u221a2.2\u201d into a calculator gives <strong>1.4832\u2026<\/strong><br>When we round <strong>1.4832<\/strong> to <strong>two decimal places<\/strong>, we get <strong>1.48<\/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>Summary<\/strong><\/h3>\n\n\n\n<p>The square root of 2.2 lies between 1 and 2, more precisely between 1.47 and 1.49. When computed using a calculator or approximation, the result is <strong>1.48<\/strong> (rounded to 2 decimal places). This is useful in math, science, and engineering for approximating non-perfect square roots.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>find the square root of 2.2 correct to two place of decimal The correct answer and explanation is: Correct Answer:The square root of 2.2, correct to two decimal places, is 1.48. Explanation (300 words): To find the square root of a number like 2.2 to two decimal places, we are essentially looking for a number [&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-23537","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23537","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=23537"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23537\/revisions"}],"predecessor-version":[{"id":23538,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23537\/revisions\/23538"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=23537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=23537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=23537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}