Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - Chapter Review Exercises - Page 670: 43

Answer

$-2a\sqrt [3] {b^2}$

Work Step by Step

First, we have to make sure that the indices are the same, which they are, in this exercise. Then, we rewrite each radicand as the product of perfect cubes and other factors: $\sqrt [3] {3^3 • a^3 • b^2} - 5a\sqrt [3] {b^2}$ Take the cube root of the perfect cubes: $3a\sqrt [3] {b^2} - 5a\sqrt [3] {b^2}$ Combine like terms: $-2a\sqrt [3] {b^2}$
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