{"id":233757,"date":"2025-06-13T11:27:06","date_gmt":"2025-06-13T11:27:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=233757"},"modified":"2025-06-13T11:27:08","modified_gmt":"2025-06-13T11:27:08","slug":"find-the-number-of-square-root-in-division-method-for-486","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/13\/find-the-number-of-square-root-in-division-method-for-486\/","title":{"rendered":"find the number of square root in division method for 486"},"content":{"rendered":"\n

find the number of square root in division method for 486<\/p>\n\n\n\n

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

To find the square root of 486 using the long division method<\/strong>, we first determine the number of digit pairs<\/strong> in the number 486 from right to left.<\/p>\n\n\n\n

\u2705 Step 1: Group the digits into pairs<\/h3>\n\n\n\n

We begin from the right side:<\/p>\n\n\n\n

    \n
  • 486 \u2192 written as 4 | 86<\/strong><\/li>\n<\/ul>\n\n\n\n

    Thus, the number 486 has 2 digit groups<\/strong> (also referred to as 2 steps<\/strong> or 2 digits<\/strong> in the square root result using the division method).<\/p>\n\n\n\n

    \n\n\n\n

    \u2705 Final Answer:<\/h3>\n\n\n\n

    Number of digits in the square root of 486 using the division method = 2<\/strong><\/p>\n\n\n\n

    \n\n\n\n

    \ud83d\udcd8 Detailed Explanation (like in textbooks):<\/h3>\n\n\n\n

    The long division method<\/strong> of finding square roots involves pairing the digits of the number, starting from the right. Each pair of digits helps determine one digit of the square root.<\/p>\n\n\n\n

    Let’s understand this in steps using 486:<\/p>\n\n\n\n

    Step 1: Group the number<\/h4>\n\n\n\n

    Break the number into pairs of digits<\/strong> starting from the right:<\/p>\n\n\n\n

      \n
    • For 486, we write it as 4 | 86<\/strong><\/li>\n\n\n\n
    • So, we have two digit groups: “4”<\/strong> and “86”<\/strong><\/li>\n<\/ul>\n\n\n\n
      \n

      \ud83d\udc49 The number of digit groups tells us how many steps we will perform and how many digits the square root will contain.<\/p>\n<\/blockquote>\n\n\n\n

      Step 2: Find the largest square \u2264 4<\/h4>\n\n\n\n
        \n
      • The largest square less than or equal to 4 is 2\u00b2 = 4<\/strong><\/li>\n\n\n\n
      • Write 2 as the first digit of the root.<\/li>\n<\/ul>\n\n\n\n

        Step 3: Subtract and bring down the next pair<\/h4>\n\n\n\n
          \n
        • 4 \u2212 4 = 0<\/li>\n\n\n\n
        • Bring down 86<\/strong><\/li>\n<\/ul>\n\n\n\n

          Now use the long division method to estimate the next digit using double the previous digit and finding a suitable digit to append.<\/p>\n\n\n\n

          Step 4: Continue the division<\/h4>\n\n\n\n
            \n
          • Double of 2 is 4. Now we try 41 \u00d7 1 = 41, 42 \u00d7 2 = 84, 43 \u00d7 3 = 129…<\/li>\n\n\n\n
          • The best fit is 42 \u00d7 2 = 84. Subtract 86 \u2212 84 = 2<\/li>\n<\/ul>\n\n\n\n

            So, the square root of 486 by division method up to two decimal digits is 22.02<\/strong> approximately.<\/p>\n\n\n\n

            \ud83d\udccc Conclusion:<\/h3>\n\n\n\n

            Since 486 has two digit groups<\/strong>, its square root by division method will have 2 digits before the decimal point<\/strong>. Therefore, the number of digits (or steps) in the square root is 2<\/strong>.<\/p>\n\n\n\n

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

            find the number of square root in division method for 486 The Correct Answer and Explanation is: To find the square root of 486 using the long division method, we first determine the number of digit pairs in the number 486 from right to left. \u2705 Step 1: Group the digits into pairs We begin […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-233757","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233757","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=233757"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/233757\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=233757"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=233757"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=233757"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}