{"id":155674,"date":"2022-03-26T00:54:30","date_gmt":"2022-03-25T19:24:30","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/value-of-root-3-square-root-of-3-using-different-methods\/"},"modified":"2023-10-17T18:22:13","modified_gmt":"2023-10-17T12:52:13","slug":"value-of-root-3-square-root-of-3-using-different-methods","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/","title":{"rendered":"Value of Root 3 &#8211; Square Root of 3 Using Different Methods"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/#Square_Root\" title=\"Square Root\">Square Root<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/#About_Square_Root_3\" title=\"About Square Root 3\">About Square Root 3<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/#Properties_of_Square_Root_of_a_Number\" title=\"Properties of Square Root of a Number\">Properties of Square Root of a Number<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/#How_to_find_Square_Root_of_3_using_Average_Method\" title=\"How to find Square Root of 3 using Average Method?\">How to find Square Root of 3 using Average Method?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/#How_to_find_Square_Root_of_3_by_Number_Line_Method\" title=\"How to find Square Root of 3 by Number Line Method?\">How to find Square Root of 3 by Number Line Method?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/#The_Root_of_3_using_Long_Division\" title=\"The Root of 3 using Long Division\">The Root of 3 using Long Division<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Square_Root\"><\/span>Square Root<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Value of Root 3 &#8211; Square Root of 3 Using Different Methods:<\/p>\n<ul>\n<li>A square root is a mathematical operation that extracts the square root of a number. The square root of a number is the number that, when multiplied by itself, results in the original number. For example, the square root of 9 is 3, because 3 multiplied by 3 equals 9.<\/li>\n<li>There are two square roots of every positive number: one that is positive and one that is negative. For example, the square root of 4 is 2, because 2 multiplied by 2 equals 4, but the square root of -4 is also 2, because 2 multiplied by -2 equals -4.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155673 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/value-of-root-3-square-root-of-3-using-different-methods.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/value-of-root-3-square-root-of-3-using-different-methods.jpg?v=1648236267 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/value-of-root-3-square-root-of-3-using-different-methods-300x212.jpg?v=1648236267 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"About_Square_Root_3\"><\/span>About Square Root 3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-root-3\/\">square root of 3<\/a> is 1.7320508<\/p>\n<p>It is the positive real number that is the root of the equation x3 = 3. A square root of 3 is a real number that when multiplied by itself will result in 3. There is no exact square root of 3, because 3 is irrational. However, there are an infinite number of decimal places that go on forever after the 3. Some examples include:<\/p>\n<ul>\n<li>1.732050808<\/li>\n<li>1.732050812<\/li>\n<li>1.7320508131<\/li>\n<li>1.73205081319<\/li>\n<li>1.732050813198<\/li>\n<\/ul>\n<p>. . .<\/p>\n<p>Square root of 3 is also the length of the hypotenuse of a right triangle with the other two sides being 1 and 1\/2.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Square_Root_of_a_Number\"><\/span>Properties of Square Root of a Number<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The square root of a number is a number that is the result of taking the square root of that number. The square root of a number is also the length of the hypotenuse of a right triangle with the other two sides being the number and 1.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_find_Square_Root_of_3_using_Average_Method\"><\/span>How to find Square Root of 3 using Average Method?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The square root of 3 can be found by taking the average of the two numbers that are closest to 3. The two numbers are 2 and 3, so the square root of 3 is 2.6.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_find_Square_Root_of_3_by_Number_Line_Method\"><\/span>How to find Square Root of 3 by Number Line Method?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Square root of 3 can be found by number line method by drawing a number line and marking off the points 1, 2, and 3. Then, the square root of 3 is the length of the line segment from 1 to 2.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Root_of_3_using_Long_Division\"><\/span>The Root of 3 using Long Division<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The root of 3 is 1.7320508.<\/p>\n<p><strong>Related Links:<\/strong><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><strong><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/square-root-formula\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cSquare Root Formula \u201d (Edit)\">Square Root Formula<\/a><\/strong><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><strong><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/cube-root-formula\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cCube Root Formula \u201d (Edit)\">Cube Root Formula<\/a><\/strong><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><strong><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/how-to-find-square-root-of-a-number\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cHow to Find Square Root of a Number\u201d (Edit)\">How to Find Square Root of a Number<\/a><\/strong><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><strong><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/square-root-and-cube-root\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cSquare Root and Cube Root \u2013 Properties, Value Table, Calculating Method, Solved Examples &amp; FAQs\u201d (Edit)\">Square Root and Cube Root<\/a><\/strong><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Square Root Value of Root 3 &#8211; Square Root of 3 Using Different Methods: A square root is a mathematical [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Value of Root 3 - Square Root of 3 Using Different Methods","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A square root is a mathematical operation that extracts the square root of a number. 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