{"id":4213,"date":"2022-01-26T17:17:24","date_gmt":"2022-01-26T17:17:24","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4213"},"modified":"2022-03-01T18:45:11","modified_gmt":"2022-03-01T18:45:11","slug":"how-to-find-square-roots-and-cube-roots","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/how-to-find-square-roots-and-cube-roots\/","title":{"rendered":"How to Find Square Roots and Cube Roots?"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>How to Find Square Roots and Cube Roots?<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Square root of a number is an inverse operation of squaring a number. The Square of a number is the value of power 2 of the number, while the square root of a number is the number that we need to multiply by itself to get the original number. If ‘<strong>a<\/strong>‘ is the square root of ‘<strong>b<\/strong>‘, it means that <strong>a \u00d7 a = b<\/strong>. The square of any number is always a positive number, so every number has two square roots, one positive value, and one negative value. For example, both 2 and -2 are square roots of 4.<\/p>\n<p>Whenever a number (<strong>x<\/strong>) is multiplied three times, then the resultant number is known as the cube of that number. Thus, the cube for the number (<strong>x<\/strong>) becomes <strong>x<sup>3<\/sup><\/strong> or <strong>x-cubed<\/strong>. While on the other hand, the cube root of a number is the reverse process of the cube of a number and is denoted by <strong>\u221b<\/strong>.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]A <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/roots\">square root<\/a> of a number is one of its two equal factors.<br \/>\nA <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/roots\">cube root<\/a> of a number is one of its three equal factors.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>The area of a floor in a square room is 121 m<sup>2<\/sup>. Find the length of one side of the room.<\/strong><\/span><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]s<sup>2<\/sup> = 121<br \/>\n\u221as<sup>2<\/sup> = \u221a121<br \/>\ns = \u00b111<br \/>\ns = 11<br \/>\n<strong><span style=\"color: red;\">The length of one side of the room is 11 meters.<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice How to Find Square Roots and Cube Roots[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Evaluate.<\/strong><br \/>\n<\/span><strong>\u221a(36)<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/estimate-roots\"><img loading=\"lazy\" class=\"alignnone wp-image-4217 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-3.png\" alt=\"Square Roots and Cube Roots Example - Practice Problem 1\" width=\"203\" height=\"116\" \/><\/a><\/p>\n<p> <\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/estimate-roots”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Evaluate.<\/strong><br \/>\n<\/span><strong>\u221b216<\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/estimate-roots\"><img loading=\"lazy\" class=\"alignnone wp-image-2983 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-14.png\" alt=\"Square Roots and Cube Roots Example - Practice Problem 2\" width=\"109\" height=\"44\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/estimate-roots”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>The area of a square post-it note is 64 cm<sup>2<\/sup>. Find the length of a side of the post-it.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/roots\"><img loading=\"lazy\" class=\"alignnone wp-image-4219 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-34.png\" alt=\"Square Roots and Cube Roots Example - Practice Problem 3\" width=\"118\" height=\"56\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/roots”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><span style=\"color: #16a085;\"><strong>A giant fish tank in the shape of a cube has a volume of 64 m<sup>3<\/sup>. Find the length of one side of the fish tank. <\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/roots\"><img loading=\"lazy\" class=\"alignnone wp-image-4221 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-24.png\" alt=\"Square Roots and Cube Roots Example - Practice Problem 4\" width=\"80\" height=\"42\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/roots”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Square of a number<\/strong>: A square number is a number multiplied by itself.<\/p>\n<p><strong>Cube of a number<\/strong>: A cube number is a number multiplied by itself 3 times.<\/p>\n<p><strong>Square Root<\/strong>: One of the two equal factors of a number. If a<sup>2<\/sup> = b, then a is the square root of b.<\/p>\n<p><strong>Cube Root<\/strong>: One of the three equal factors of a number. If a<sup>3<\/sup> = b, then a is the cube root of b.<\/p>\n<p><strong>Radical Symbol<\/strong>: A symbol used to indicate a positive square root \u221a<br \/>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/evaluate-exponents\"><span style=\"color: #ed5600;\">Evaluate exponents<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/powers-and-exponents\"><span style=\"color: #ed5600;\">Powers and Exponents<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/negative-exponents\"><span style=\"color: #ed5600;\">Negative Exponents<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635340400412{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-right-color: #333399 !important;border-top-color: #333399 !important;border-bottom-color: #333399 !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/scientific-notation\"><span style=\"color: #333399;\">Scientific Notation<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/computing-with-scientific-notation\"><span style=\"color: #333399;\">Computing with Scientific Notation<\/span><\/a><br \/>\n[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Division” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fdivision|title:Division||”][vc_btn title=”Estimation” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Festimation|title:Estimation||”][vc_btn title=”Exponents and logarithms” color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fexponents-and-logarithms|title:Exponents%20and%20logarithms||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] How to Find Square Roots and Cube Roots? [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Square root of a number is an inverse operation of squaring a number. The Square of a number is the value of power […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to Find Square Roots and Cube Roots? | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Square root of a number is an inverse operation of squaring a number. 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