Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Exercise Set: 11

Answer

$\dfrac{9}{\sqrt{3a}}=\dfrac{3\sqrt{3a}}{a}$

Work Step by Step

$\dfrac{9}{\sqrt{3a}}$ Multiply the fraction by $\dfrac{\sqrt{3a}}{\sqrt{3a}}$ and simplify: $\dfrac{9}{\sqrt{3a}}=\dfrac{9}{\sqrt{3a}}\cdot\dfrac{\sqrt{3a}}{\sqrt{3a}}=\dfrac{9\sqrt{3a}}{\sqrt{(3a)^{2}}}=\dfrac{9\sqrt{3a}}{3a}=\dfrac{3\sqrt{3a}}{a}$
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