Elementary Algebra

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

Chapter 9 - Roots and Radicals - Chapter 9 Review Problem Set - Page 430: 16


$\frac{3\sqrt {10}}{5}$

Work Step by Step

The simplification of the expression is only possible through rationalizing the denominator: Step 1: $\frac{3\sqrt 2}{\sqrt 5}$ Step 2: $\frac{3\sqrt 2}{\sqrt 5}\times\frac{\sqrt 5}{\sqrt 5}$ Step 3: $\frac{3\sqrt 2\times\sqrt 5}{(\sqrt 5)^{2}}$ Step 4: $\frac{3\sqrt {2\times5}}{5}$ Step 5: $\frac{3\sqrt {10}}{5}$
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