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: 70

Answer

$\dfrac{7a}{\sqrt{42ab}}$

Work Step by Step

Rationalizing the numerator, the given expression, $ \sqrt{\dfrac{7a}{6b}} ,$ is equivalent to \begin{array}{l} \sqrt{\dfrac{7a}{6b}\cdot\dfrac{7a}{7a}} \\\\= \sqrt{\dfrac{(7a)^2}{42ab}} \\\\= \dfrac{7a}{\sqrt{42ab}} .\end{array}
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