## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set - Page 653: 4

Quotient Rule

#### Work Step by Step

Using the Quotient Rule of radicals which is given by $\sqrt[n]{\dfrac{x}{y}}=\dfrac{\sqrt[n]{x}}{\sqrt[n]{y}}{},$ the expression, $\dfrac{\sqrt{50a^3}}{\sqrt{2a}} ,$ is equivalent to \begin{array}{l}\require{cancel} \sqrt{\dfrac{50a^3}{2a}} .\end{array} Hence, the given equality is justified by the $\text{ Quotient Rule .}$

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