Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2: 9

Answer

$-3\sqrt[3] {2}$

Work Step by Step

In order to simplify a cube root, we consider the factors of the number inside of the cube root. If any of these factors are perfect cubes, meaning that their cube root is an integer, then we can simplify the expression. We know that -27 and 2 are factors of -54. We know that 27 is a perfect cube, so we simplify: $\sqrt[3] {-27} \sqrt[3] {2}=-3\sqrt[3] {2}$
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