Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set - Page 433: 67

Answer

$x^2y$

Work Step by Step

Using the properties of radicals, then, \begin{array}{l} \dfrac{\sqrt{x^5y^3}}{\sqrt{xy}} \\\\= \sqrt{\dfrac{x^5y^3}{xy}} \\\\= \sqrt{x^{5-1}y^{3-1}} \\\\= \sqrt{x^{4}y^{2}} \\\\= x^2y .\end{array}
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