Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 68

Answer

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

Work Step by Step

$\sqrt[3] {24a^{5}b^{7}}$ =$\sqrt[3] {8\times3\times a^{3}\times a^{2}\times b^{6}\times b}$ =$\sqrt[3] {2^{3}\times a^{3}\times b^{6}\times3 \times a^{2}\times b}$ =$\sqrt[3] {2^{3}\times a^{3}\times b^{6}} \times \sqrt[3]{3 \times a^{2}\times b}$ =$2ab^{2}\sqrt[3]{3a^{2}b}$
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