{"id":37635,"date":"2025-06-26T03:40:05","date_gmt":"2025-06-26T03:40:05","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=37635"},"modified":"2025-06-26T03:40:06","modified_gmt":"2025-06-26T03:40:06","slug":"find-the-square-root-%e2%88%9a361-select-the-correct-choice-below-and-if-necessary-fill-in-the-answer-box-within-your-choice","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-the-square-root-%e2%88%9a361-select-the-correct-choice-below-and-if-necessary-fill-in-the-answer-box-within-your-choice\/","title":{"rendered":"Find the square root: \u221a361 Select the correct choice below and, if necessary, fill in the answer box within your choice"},"content":{"rendered":"\n

Find the square root: \u221a361 Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The square root is __<\/strong>. B. The square root is not a real number.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Choice: A. The square root is 19.<\/strong><\/p>\n\n\n\n

\n\n\n\n

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

The square root of a number is a value that, when multiplied by itself, gives the original number. In mathematical terms:x=y if and only if y\u00d7y=x\\sqrt{x} = y \\text{ if and only if } y \\times y = xx\u200b=y if and only if y\u00d7y=x<\/p>\n\n\n\n

In this case, we are asked to find:361\\sqrt{361}361\u200b<\/p>\n\n\n\n

We want to determine which number multiplied by itself equals 361. Let\u2019s try a few possibilities:<\/p>\n\n\n\n

    \n
  • 18\u00d718=32418 \\times 18 = 32418\u00d718=324<\/li>\n\n\n\n
  • 19\u00d719=36119 \\times 19 = 36119\u00d719=361<\/li>\n<\/ul>\n\n\n\n

    Since 19\u00d719=36119 \\times 19 = 36119\u00d719=361, we conclude:361=19\\sqrt{361} = 19361\u200b=19<\/p>\n\n\n\n

    Therefore, 19 is the principal (positive) square root<\/strong> of 361. Square roots of perfect squares like this one are always rational numbers if the number inside the square root is a perfect square. A perfect square is a number that can be expressed as the product of an integer with itself.<\/p>\n\n\n\n

    Some examples of perfect squares include:<\/p>\n\n\n\n

      \n
    • 12=11^2 = 112=1<\/li>\n\n\n\n
    • 22=42^2 = 422=4<\/li>\n\n\n\n
    • 32=93^2 = 932=9<\/li>\n\n\n\n
    • 102=10010^2 = 100102=100<\/li>\n\n\n\n
    • 202=40020^2 = 400202=400<\/li>\n<\/ul>\n\n\n\n

      Similarly, since 361 is equal to 19219^2192, it is a perfect square.<\/p>\n\n\n\n

      Also, 361 is a positive number, so its square root must be a real number. That eliminates option B, which says the square root is not a real number.<\/p>\n\n\n\n

      To summarize:<\/p>\n\n\n\n

        \n
      • The square root of 361 is a whole number<\/li>\n\n\n\n
      • It is a real, rational number<\/li>\n\n\n\n
      • The correct answer is A. The square root is 19<\/strong><\/li>\n<\/ul>\n\n\n\n
        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Find the square root: \u221a361 Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The square root is __. B. The square root is not a real number. The Correct Answer and Explanation is: Correct Choice: A. The square root is 19. Explanation: The square root of […]<\/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-37635","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37635","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=37635"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37635\/revisions"}],"predecessor-version":[{"id":37637,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/37635\/revisions\/37637"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=37635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=37635"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=37635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}