Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review: 150

Answer

$10{x^{4}}\sqrt {2x}$

Work Step by Step

$\sqrt {200x^{9}}$ =$\sqrt {2\times100\times x^{8}\times x}$ =$\sqrt {2}\times \sqrt {100}\times \sqrt {x^{8}}\times \sqrt {x}$ =$\sqrt {2}\times 10\times {x^{4}}\times \sqrt {x}$ =$10\times {x^{4}}\times \sqrt {x}\times \sqrt {2}$ =$10{x^{4}}\times \sqrt {2x}$ =$10{x^{4}}\sqrt {2x}$
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