# Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set - Page 654: 74

$\dfrac{ab^3}{\sqrt[]{3ab}}$

#### Work Step by Step

Rationalizing the numerator, the given expression, $\sqrt[]{\dfrac{ab^5}{3}} ,$ is equivalent to \begin{array}{l} \sqrt[]{\dfrac{ab^5}{3}\cdot\dfrac{ab}{ab}} \\\\= \sqrt[]{\dfrac{a^2b^6}{3ab}} \\\\= \sqrt[]{\dfrac{(ab^3)^2}{3ab}} \\\\= \dfrac{ab^3}{\sqrt[]{3ab}} .\end{array}

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