Intermediate Algebra (6th Edition)

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

Chapter 7 - Section 7.5 - Rationalizing Denominators and Numerators of Radical Expressions - Exercise Set: 19

Answer

$\dfrac{\sqrt{10xy}}{5y}$

Work Step by Step

Rationalizing the denominator of $ \sqrt{\dfrac{2x}{5y}} $ results to \begin{array}{l} \sqrt{\dfrac{2x}{5y}} \cdot \sqrt{\dfrac{5y}{5y}} \\\\= \sqrt{\dfrac{10xy}{25y^2}} \\\\= \dfrac{\sqrt{10xy}}{5y} .\end{array}
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