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: 45

Answer

$\sqrt{\dfrac{5}{3}}=\dfrac{5}{\sqrt{15}}$

Work Step by Step

$\sqrt{\dfrac{5}{3}}$ Rewrite this expression as $\dfrac{\sqrt{5}}{\sqrt{3}}$: $\sqrt{\dfrac{5}{3}}=\dfrac{\sqrt{5}}{\sqrt{3}}=...$ Multiply this expression by $\dfrac{\sqrt{5}}{\sqrt{5}}$ and simplify if possible: $...=\dfrac{\sqrt{5}}{\sqrt{3}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}}=\dfrac{\sqrt{5^{2}}}{\sqrt{15}}=\dfrac{5}{\sqrt{15}}$
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