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: 17

Answer

$-2\sqrt[3] 2$

Work Step by Step

Step 1: $\sqrt[3] {-16}$ Step 2: $\sqrt[3] {2\times-8}$ Step 3: $\sqrt[3] 2\times\sqrt[3] {-8}$ Step 4: $\sqrt[3] 2\times\sqrt[3] {(-2)^{3}}$ Step 5: $\sqrt[3] 2\times(-2)^{3\times\frac{1}{3}}$ Step 6: $\sqrt[3] 2\times(-2)$ Step 7: $-2\sqrt[3] 2$
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