Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set: 69

Answer

$\dfrac{7x}{\sqrt{21xy}}$

Work Step by Step

Rationalizing the numerator, the given expression, $ \sqrt{\dfrac{7x}{3y}} ,$ is equivalent to \begin{array}{l} \sqrt{\dfrac{7x}{3y}\cdot\dfrac{7x}{7x}} \\\\= \sqrt{\dfrac{(7x)^2}{21xy}} \\\\= \dfrac{7x}{\sqrt{21xy}} .\end{array}
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