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 - Page 600: 31



Work Step by Step

$\sqrt{\frac{5}{18}}$ Use the quotient rule for square roots. $\frac{\sqrt5}{\sqrt{18}}$ Simplify by factoring out perfect squares. $\frac{\sqrt5}{\sqrt{(9)(2)}}$ Simplify. $\frac{\sqrt5}{3\sqrt{2}}$ Rationalize the denominator. $\frac{\sqrt5}{3\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$ Use product rule for square roots. $\frac{\sqrt{10}}{6}$
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