Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set: 42

Answer

$6y^{2}\sqrt {2xy}$

Work Step by Step

Breaking the radicand into its factors and simplifying, we obtain: $\sqrt {72xy^{5}}$ =$\sqrt {2\times36\times x \times y^{4}\times y}$ =$\sqrt {36\times y^{4}}\times\sqrt {2\times x\times y}$ =$\sqrt {6^{2}\times (y^{2})^{2}}\times\sqrt {2\times x\times y}$ =$6\times y^{2}\times\sqrt {2\times x\times y}$ =$6y^{2}\times\sqrt {2xy}$ =$6y^{2}\sqrt {2xy}$
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