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: 13

Answer

$\dfrac{3\sqrt[]{3a}}{a}$

Work Step by Step

Rationalizing the denominator of $ \dfrac{9}{\sqrt[]{3a}} $ results to \begin{array}{l} \dfrac{9}{\sqrt[]{3a}} \cdot \dfrac{\sqrt[]{3a}}{\sqrt[]{3a}} \\\\= \dfrac{9\sqrt[]{3a}}{\sqrt[]{9a^2}} \\\\= \dfrac{9\sqrt[]{3a}}{3a} \\\\= \dfrac{3\sqrt[]{3a}}{a} .\end{array}
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