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: 2

Answer

$\dfrac{\sqrt{5}}{\sqrt{2}}=\dfrac{\sqrt{10}}{2}$

Work Step by Step

$\dfrac{\sqrt{5}}{\sqrt{2}}$ Multiply the fraction by $\dfrac{\sqrt{2}}{\sqrt{2}}$ and simplify: $\dfrac{\sqrt{5}}{\sqrt{2}}=\dfrac{\sqrt{5}}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{10}}{\sqrt{2^{2}}}=\dfrac{\sqrt{10}}{2}$
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