Algebra: A Combined Approach (4th Edition)

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

Chapter 13 - Cumulative Review: 38

Answer

$3a^{2}b\sqrt {10a}$

Work Step by Step

$\sqrt {90a^{5}b^{2}}$ =$\sqrt {90}\times\sqrt {a^{5}}\times\sqrt {b^{2}}$ =$\sqrt {9\times10}\times\sqrt {a^{4+1}}\times\sqrt {b^{2}}$ =$3\sqrt {10}\times a^{2}\sqrt {a}\times b$ =$3\times a^{2}\times b\times\sqrt {10}\times\sqrt {a}$ =$3a^{2}b\times\sqrt {10\times a}$ =$3a^{2}b\sqrt {10a}$
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