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: 59

Answer

$\sqrt[4]{32x^{12}y^{5}}=2x^{3}y\sqrt[4]{2y}$

Work Step by Step

$\sqrt[4]{32x^{12}y^{5}}$ Take the fourth root of each factor and simplify: $\sqrt[4]{32x^{12}y^{5}}=\sqrt[4]{32}\cdot\sqrt[4]{x^{12}}\cdot\sqrt[4]{y^{5}}=(2\sqrt[4]{2})(x^{3})(y\sqrt[4]{y})=2x^{3}y\sqrt[4]{2y}$
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