{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-07-13T19:01:09+00:00","modifiedTime":"2017-07-13T19:01:09+00:00","timestamp":"2022-09-14T18:19:21+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"Armed Services","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33776"},"slug":"armed-services","categoryId":33776}],"title":"ASVAB Mathematics Knowledge Practice: Cube and Square Roots","strippedTitle":"asvab mathematics knowledge practice: cube and square roots","slug":"asvab-mathematics-knowledge-practice-cube-square-roots","canonicalUrl":"","seo":{"metaDescription":"Some questions on the Mathematics Knowledge subtest on the ASVAB are guaranteed to be totally radical. Not in the '80s sense, but because they deal with numbers","noIndex":0,"noFollow":0},"content":"Some questions on the Mathematics Knowledge subtest on the ASVAB are guaranteed to be totally radical. Not in the '80s sense, but because they deal with numbers that are square and cube roots of other numbers.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Solve\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0601.gif\"><img class=\"alignnone size-full wp-image-242040\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0601.gif\" alt=\"ASVAB_0601\" width=\"52\" height=\"25\" /></a>\r\n\r\nwhen <em>x</em> = –3.\r\n\r\n<strong>A.</strong> 15<sup>2</sup>\r\n<strong>B.</strong> 25\r\n<strong>C.</strong> 1.5\r\n<strong>D.</strong> 15</li>\r\n\t<li>Given\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0602.gif\"><img class=\"alignnone size-full wp-image-242041\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0602.gif\" alt=\"ASVAB_0602\" width=\"144\" height=\"31\" /></a>\r\n\r\nsimplify the expression.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0603.gif\"><img class=\"alignnone size-full wp-image-242042\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0603.gif\" alt=\"ASVAB_0603\" width=\"121\" height=\"112\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (D).</strong>\r\n\r\nFirst evaluate the expression inside the square root symbol by filling in the value of <em>x</em>:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0604.gif\"><img class=\"alignnone size-full wp-image-242043\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0604.gif\" alt=\"ASVAB_0604\" width=\"105\" height=\"29\" /></a>\r\n\r\nFind\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0605.gif\"><img class=\"alignnone size-full wp-image-242044\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0605.gif\" alt=\"ASVAB_0605\" width=\"44\" height=\"25\" /></a>\r\n\r\nby determining that\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0606.gif\"><img class=\"alignnone size-full wp-image-242045\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0606.gif\" alt=\"ASVAB_0606\" width=\"99\" height=\"17\" /></a></li>\r\n\t<li>The correct answer is <strong>Choice (C).</strong>\r\n\r\nBoth radicals are cube roots, so multiply the radicands. Because\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0607.gif\"><img class=\"alignnone size-full wp-image-242046\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0607.gif\" alt=\"ASVAB_0607\" width=\"108\" height=\"27\" /></a>\r\n\r\nyou get\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0608.gif\"><img class=\"alignnone size-full wp-image-242047\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0608.gif\" alt=\"ASVAB_0608\" width=\"121\" height=\"31\" /></a>\r\n\r\nFactor and simplify, and look for perfect cubes to make it easier:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0609.gif\"><img class=\"alignnone size-full wp-image-242048\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0609.gif\" alt=\"ASVAB_0609\" width=\"169\" height=\"153\" /></a>\r\n\r\nRewrite the numbers and variables as the product of radicals so you continue to work with like terms:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0610.gif\"><img class=\"alignnone size-full wp-image-242049\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0610.gif\" alt=\"ASVAB_0610\" width=\"349\" height=\"40\" /></a>\r\n\r\nSolve what you can and simplify:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0611.gif\"><img class=\"alignnone size-full wp-image-242050\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0611.gif\" alt=\"ASVAB_0611\" width=\"81\" height=\"28\" /></a></li>\r\n</ol>","description":"Some questions on the Mathematics Knowledge subtest on the ASVAB are guaranteed to be totally radical. Not in the '80s sense, but because they deal with numbers that are square and cube roots of other numbers.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Solve\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0601.gif\"><img class=\"alignnone size-full wp-image-242040\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0601.gif\" alt=\"ASVAB_0601\" width=\"52\" height=\"25\" /></a>\r\n\r\nwhen <em>x</em> = –3.\r\n\r\n<strong>A.</strong> 15<sup>2</sup>\r\n<strong>B.</strong> 25\r\n<strong>C.</strong> 1.5\r\n<strong>D.</strong> 15</li>\r\n\t<li>Given\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0602.gif\"><img class=\"alignnone size-full wp-image-242041\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0602.gif\" alt=\"ASVAB_0602\" width=\"144\" height=\"31\" /></a>\r\n\r\nsimplify the expression.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0603.gif\"><img class=\"alignnone size-full wp-image-242042\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0603.gif\" alt=\"ASVAB_0603\" width=\"121\" height=\"112\" /></a></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (D).</strong>\r\n\r\nFirst evaluate the expression inside the square root symbol by filling in the value of <em>x</em>:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0604.gif\"><img class=\"alignnone size-full wp-image-242043\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0604.gif\" alt=\"ASVAB_0604\" width=\"105\" height=\"29\" /></a>\r\n\r\nFind\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0605.gif\"><img class=\"alignnone size-full wp-image-242044\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0605.gif\" alt=\"ASVAB_0605\" width=\"44\" height=\"25\" /></a>\r\n\r\nby determining that\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0606.gif\"><img class=\"alignnone size-full wp-image-242045\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0606.gif\" alt=\"ASVAB_0606\" width=\"99\" height=\"17\" /></a></li>\r\n\t<li>The correct answer is <strong>Choice (C).</strong>\r\n\r\nBoth radicals are cube roots, so multiply the radicands. Because\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0607.gif\"><img class=\"alignnone size-full wp-image-242046\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0607.gif\" alt=\"ASVAB_0607\" width=\"108\" height=\"27\" /></a>\r\n\r\nyou get\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0608.gif\"><img class=\"alignnone size-full wp-image-242047\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0608.gif\" alt=\"ASVAB_0608\" width=\"121\" height=\"31\" /></a>\r\n\r\nFactor and simplify, and look for perfect cubes to make it easier:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0609.gif\"><img class=\"alignnone size-full wp-image-242048\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0609.gif\" alt=\"ASVAB_0609\" width=\"169\" height=\"153\" /></a>\r\n\r\nRewrite the numbers and variables as the product of radicals so you continue to work with like terms:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0610.gif\"><img class=\"alignnone size-full wp-image-242049\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0610.gif\" alt=\"ASVAB_0610\" width=\"349\" height=\"40\" /></a>\r\n\r\nSolve what you can and simplify:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_0611.gif\"><img class=\"alignnone size-full wp-image-242050\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_0611.gif\" alt=\"ASVAB_0611\" width=\"81\" height=\"28\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":8947,"name":"The Experts at Dummies","slug":"the-experts-at-dummies","description":"The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8947"}}],"primaryCategoryTaxonomy":{"categoryId":33776,"title":"Armed 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AFQT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"11018\">Angie Papple Johnston</b> joined the U.S. Army in 2006 as a Chemical, Biological, Radiological, and Nuclear specialist, ready to tackle chemical weapons in a Level- A HAZMAT suit. She's currently the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C. </p>","authors":[{"authorId":11018,"name":"Angie Papple Johnston","slug":"angie-papple-johnston","description":" <p><b>Angie Papple Johnston</b> joined the U.S. Army in 2006 as a CBRN specialist. Currently, she's the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C. <b>Rod Powers</b> served more than 20 years in the U.S. Air Force and retired as a first sergeant. 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ASVAB Mathematics Knowledge Practice: Cube and Square Roots

By: The Experts at Dummies and

Updated: 07-13-2017

From The Book: ASVAB AFQT

ASVAB AFQT

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Some questions on the Mathematics Knowledge subtest on the ASVAB are guaranteed to be totally radical. Not in the '80s sense, but because they deal with numbers that are square and cube roots of other numbers.

Practice questions

Solve
when x = –3.
A. 15² B. 25 C. 1.5 D. 15
Given
simplify the expression.

Answers and explanations

The correct answer is Choice (D).
First evaluate the expression inside the square root symbol by filling in the value of x:
Find
by determining that
The correct answer is Choice (C).
Both radicals are cube roots, so multiply the radicands. Because
you get
Factor and simplify, and look for perfect cubes to make it easier:
Rewrite the numbers and variables as the product of radicals so you continue to work with like terms:
Solve what you can and simplify:

About This Article

This article is from the book:

ASVAB AFQT ,

About the book author:

Angie Papple Johnston joined the U.S. Army in 2006 as a Chemical, Biological, Radiological, and Nuclear specialist, ready to tackle chemical weapons in a Level- A HAZMAT suit. She's currently the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C.

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