{"id":41379,"date":"2025-06-28T08:24:16","date_gmt":"2025-06-28T08:24:16","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=41379"},"modified":"2025-06-28T08:24:17","modified_gmt":"2025-06-28T08:24:17","slug":"what-is-the-other-square-root-of-119-120","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-other-square-root-of-119-120\/","title":{"rendered":"What is the other square root of 119 + 120"},"content":{"rendered":"\n

What is the other square root of 119 + 120<\/p>\n\n\n\n

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

The expression is:<\/p>\n\n\n\n

119 + 120 = 239<\/strong><\/p>\n\n\n\n

Now, we are asked to find the other square root<\/strong> of 239.<\/p>\n\n\n\n

Step 1: Understanding Square Roots<\/h3>\n\n\n\n

The square root of a number xxx is any number yyy such that y2=xy^2 = xy2=x. For any positive<\/strong> real number like 239, there are always two<\/strong> square roots:<\/p>\n\n\n\n

    \n
  • A positive<\/strong> square root: 239\\sqrt{239}239\u200b<\/li>\n\n\n\n
  • A negative<\/strong> square root: \u2212239-\\sqrt{239}\u2212239\u200b<\/li>\n<\/ul>\n\n\n\n

    So, the square roots of 239 are:239and\u2212239\\sqrt{239} \\quad \\text{and} \\quad -\\sqrt{239}239\u200band\u2212239\u200b<\/p>\n\n\n\n

    The phrase \u201cthe other square root\u201d<\/strong> refers to the square root that is not commonly given. In most mathematical contexts, 239\\sqrt{239}239\u200b refers only to the positive<\/strong> root. So, the other<\/strong> one is the negative<\/strong> root:\u2212239\\boxed{-\\sqrt{239}}\u2212239\u200b\u200b<\/p>\n\n\n\n

    This is the correct answer.<\/p>\n\n\n\n

    \n\n\n\n

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

    Every positive real number has exactly two real square roots. One is positive and the other is negative. For example, the square roots of 9 are 3 and -3 because both 32=93^2 = 932=9 and (\u22123)2=9(-3)^2 = 9(\u22123)2=9. This is a fundamental concept in algebra.<\/p>\n\n\n\n

    When we take the square root of a number, such as 239\\sqrt{239}239\u200b, we typically refer only to the principal square root<\/strong>, which is the positive value. However, there is always a second real number that also satisfies the equation x2=239x^2 = 239×2=239, and that is the negative root, \u2212239-\\sqrt{239}\u2212239\u200b.<\/p>\n\n\n\n

    In this particular problem, the sum of 119 and 120 gives 239. The question then asks for the other square root<\/strong> of that result. Since 239\\sqrt{239}239\u200b is the principal root, the \u201cother\u201d root must be \u2212239-\\sqrt{239}\u2212239\u200b. This approach relies on a clear understanding of how square roots work and how equations like x2=239x^2 = 239×2=239 have two solutions.<\/p>\n\n\n\n

    It is important to note that 239 is not a perfect square. That means its square roots cannot be expressed as exact integers. Approximating with a calculator gives:239\u224815.4596\\sqrt{239} \\approx 15.4596239\u200b\u224815.4596<\/p>\n\n\n\n

    Therefore:\u2212239\u2248\u221215.4596-\\sqrt{239} \\approx -15.4596\u2212239\u200b\u2248\u221215.4596<\/p>\n\n\n\n

    So, the final answer is \u2212239\\boxed{-\\sqrt{239}}\u2212239\u200b\u200b, or approximately \u221215.4596\\boxed{-15.4596}\u221215.4596\u200b.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    What is the other square root of 119 + 120 The Correct Answer and Explanation is: The expression is: 119 + 120 = 239 Now, we are asked to find the other square root of 239. Step 1: Understanding Square Roots The square root of a number xxx is any number yyy such that y2=xy^2 […]<\/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-41379","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41379","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=41379"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41379\/revisions"}],"predecessor-version":[{"id":41386,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/41379\/revisions\/41386"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=41379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=41379"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=41379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}