{"id":24316,"date":"2025-06-18T13:03:04","date_gmt":"2025-06-18T13:03:04","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24316"},"modified":"2025-06-18T13:03:06","modified_gmt":"2025-06-18T13:03:06","slug":"approximate-square-root-of-12-to-the-nearest-tenth","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/approximate-square-root-of-12-to-the-nearest-tenth\/","title":{"rendered":"Approximate square root of 12 to the nearest tenth"},"content":{"rendered":"\n

Approximate square root of 12 to the nearest tenth.<\/p>\n\n\n\n

The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n

Answer:<\/strong> The approximate square root of 12 to the nearest tenth is 3.5<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To find the square root of 12, we want a number which, when multiplied by itself, equals 12.<\/p>\n\n\n\n

    \n
  1. Understanding Square Roots:<\/strong>
    The square root of a number xx is a number yy such that y2=xy^2 = x. Here, we want yy such that y2=12y^2 = 12.<\/li>\n\n\n\n
  2. Estimating the Square Root:<\/strong>
    First, identify perfect squares near 12:
    • 32=93^2 = 9<\/li>
    • 42=164^2 = 16<\/li><\/ul>Since 1212 lies between 99 and 1616, the square root of 12 will lie between 3 and 4.<\/li>\n\n\n\n
    • Narrowing Down Between 3 and 4:<\/strong>
      Try numbers between 3 and 4:
      • 3.42=3.4\u00d73.4=11.563.4^2 = 3.4 \\times 3.4 = 11.56 (less than 12)<\/li>
      • 3.52=3.5\u00d73.5=12.253.5^2 = 3.5 \\times 3.5 = 12.25 (just above 12)<\/li><\/ul>Since 3.42<12<3.523.4^2 < 12 < 3.5^2, the square root of 12 lies between 3.4 and 3.5. Because 12 is closer to 12.25 than 11.56, 3.5 is a better estimate.<\/li>\n\n\n\n
      • Rounding to the Nearest Tenth:<\/strong>
        The value 3.53.5 is a good approximation of 12\\sqrt{12} when rounded to one decimal place.<\/li>\n\n\n\n
      • More Precise Calculation (Optional):<\/strong>
        Using a calculator, 12\u22483.4641\\sqrt{12} \\approx 3.4641. Rounded to the nearest tenth, this is 3.53.5.<\/li>\n<\/ol>\n\n\n\n
        \n\n\n\n

        Summary:<\/h3>\n\n\n\n
          \n
        • Square roots of numbers between perfect squares are estimated by checking squares of decimal numbers.<\/li>\n\n\n\n
        • For 12\\sqrt{12}, the value is between 3 and 4 because 32=93^2 = 9 and 42=164^2 = 16.<\/li>\n\n\n\n
        • Checking 3.423.4^2 and 3.523.5^2 shows the square root is slightly less than 3.5 but rounds to 3.5 when rounded to one decimal.<\/li>\n\n\n\n
        • Therefore, 12\u22483.5\\sqrt{12} \\approx 3.5 (nearest tenth).<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

          Approximate square root of 12 to the nearest tenth. The correct answer and explanation is: Answer: The approximate square root of 12 to the nearest tenth is 3.5. Explanation: To find the square root of 12, we want a number which, when multiplied by itself, equals 12. Summary:<\/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-24316","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24316","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=24316"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24316\/revisions"}],"predecessor-version":[{"id":24317,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24316\/revisions\/24317"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24316"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24316"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}