Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 550: 39

Answer

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

Work Step by Step

Rationalize the denominator by multiplying $\sqrt{5}$ to both the numerator and the denominator to obtain: $=\dfrac{\sqrt{2} \cdot \sqrt{5} }{\sqrt{5} \cdot \sqrt{5}} \\=\dfrac{\sqrt{2(5)}}{5} \\=\dfrac{\sqrt{10}}{5}$
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