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 - 8.2 Simplifying, Adding, and Subtracting Radicals - 8.2 Exercises - Page 633: 32



Work Step by Step

Factor the radicand so that at least one factor is a perfect cube: $=\sqrt[3]{8a^3b^3(5b^2)} \\=\sqrt[3]{2^3a^3b^3(5b^2)}$ Bring out the cube root of the perfect cube factor to obtain: $=\color{blue}{2ab\sqrt[3]{5b^2}}$
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