## Elementary Algebra

Published by Cengage Learning

# Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Problem Set 9.3 - Page 412: 20

#### Answer

$\dfrac{\sqrt{10}}{5}$

#### Work Step by Step

Using the properties of radicals, the given expression, $\sqrt{\dfrac{2}{5}} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{\dfrac{2}{5}\cdot\dfrac{5}{5}} \\\\= \sqrt{\dfrac{10}{25}} \\\\= \dfrac{\sqrt{10}}{\sqrt{25}} \\\\= \dfrac{\sqrt{10}}{5} .\end{array}

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