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: 60

Answer

$\sqrt[4]{162x^{7}y^{20}}=3xy^{5}\sqrt[4]{2x^{3}}$

Work Step by Step

$\sqrt[4]{162x^{7}y^{20}}$ Take the fourth root of each factor and simplify: $\sqrt[4]{162x^{7}y^{20}}=\sqrt[4]{162}\cdot\sqrt[4]{x^{7}}\cdot\sqrt[4]{y^{20}}=(3\sqrt[4]{2})(x\sqrt[4]{x^{3}})(y^{5})=...$ $...=3xy^{5}\sqrt[4]{2x^{3}}$
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