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: 9

Answer

$\frac{\sqrt{15}}{5}$

Work Step by Step

$\sqrt{\frac{3}{5}}$ Use the quotient rule for square roots. $\frac{\sqrt3}{\sqrt{5}}$ Rationalize the denominator, $\frac{\sqrt3}{\sqrt{5}}\times\frac{\sqrt{5}}{\sqrt{5}}$ Simplify. $\frac{\sqrt3\times\sqrt{5}}{5}$ Use the product rule for square roots. $\frac{\sqrt{15}}{5}$
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