Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.1 - Radicals and Radical Functions - Vocabulary, Readiness & Video Check - Page 416: 4

Answer

squares, cubes

Work Step by Step

Numbers such as 1, 4, 9, and 25 are called perfect squares because we get a whole number when we take the square root of these numbers. For example, $\sqrt 25=5$, because $5^{2}=5\times5=25$. Numbers such as 1, 8, 27, and 125 are called perfect cubes because we get a whole number when we take the cube root of these numbers. For example, $\sqrt 125=5$, because $5^{3}=5\times5\times5=125$.
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