# Chapter 10 - Exponents and Radicals - Test: Chapter 10: 1

$5\sqrt{2}$

#### Work Step by Step

Extracting the factor that is a perfect power of the index results to\begin{array}{l}\require{cancel} \sqrt{50} \\\\= \sqrt{25\cdot2} \\\\= \sqrt{(5)^2\cdot2} \\\\= 5\sqrt{2} .\end{array}

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