Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set - Page 432: 40


$\frac{6\sqrt {5}}{5}$

Work Step by Step

We will simplify the expression by rationalizing its denominator, $\sqrt \frac{36}{5}$ =$\frac{\sqrt {36}}{\sqrt 5}$ =$\frac{\sqrt {36}}{\sqrt 5}\times\frac{\sqrt 5}{\sqrt 5}$ =$\frac{\sqrt {36}\times\sqrt 5}{\sqrt 5\times\sqrt 5}$ =$\frac{6\sqrt {5}}{(\sqrt 5)^{2}}$ =$\frac{6\sqrt {5}}{5}$
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