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: 18

Answer

$\sqrt{\dfrac{13a}{2b}}=\dfrac{\sqrt{26ab}}{2b}$

Work Step by Step

$\sqrt{\dfrac{13a}{2b}}$ Rewrite the expression as $\dfrac{\sqrt{13a}}{\sqrt{2b}}$: $\sqrt{\dfrac{13a}{2b}}=\dfrac{\sqrt{13a}}{\sqrt{2b}}=...$ Multiply the fraction by $\dfrac{\sqrt{2b}}{\sqrt{2b}}$ and simplify: $...=\dfrac{\sqrt{13a}}{\sqrt{2b}}\cdot\dfrac{\sqrt{2b}}{\sqrt{2b}}=\dfrac{\sqrt{26ab}}{\sqrt{(2b)^{2}}}=\dfrac{\sqrt{26ab}}{2b}$
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