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 - Page 654: 74



Work Step by Step

Rationalizing the numerator, the given expression, $ \sqrt[]{\dfrac{ab^5}{3}} ,$ is equivalent to \begin{array}{l} \sqrt[]{\dfrac{ab^5}{3}\cdot\dfrac{ab}{ab}} \\\\= \sqrt[]{\dfrac{a^2b^6}{3ab}} \\\\= \sqrt[]{\dfrac{(ab^3)^2}{3ab}} \\\\= \dfrac{ab^3}{\sqrt[]{3ab}} .\end{array}
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