Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.3 - Simplifying Radical Expressions - Exercise Set: 48

Answer

$\sqrt{9x^{5}y^{7}}=3x^{2}y^{3}\sqrt{xy}$

Work Step by Step

$\sqrt{9x^{5}y^{7}}$ Take the square root of each factor and then simplify: $\sqrt{9x^{5}y^{7}}=\sqrt{9}\cdot\sqrt{x^{5}}\cdot\sqrt{y^{7}}=...$ $...=(3)(x^{2}\sqrt{x})(y^{3}\sqrt{y})=3x^{2}y^{3}\sqrt{xy}$
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