Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.4 - Rationalizing the Denominator - Exercise Set: 25

Answer

$\frac{\sqrt5}{10}$

Work Step by Step

$\frac{1}{\sqrt{20}}$ Simplify by factoring out perfect squares. $\frac{1}{\sqrt{(4)(5)}}$ Simplify. $\frac{1}{2\sqrt5}$ Rationalize the denominator. $\frac{1}{2\sqrt5}\times\frac{\sqrt5}{\sqrt5}$ Use product rule for square roots. $\frac{\sqrt{5}}{10}$
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