# Chapter 7 - Section 7.5 - Rationalizing Denominators and Numerators of Radical Expressions - Exercise Set: 55

$\dfrac{5}{\sqrt{15}}$

#### Work Step by Step

Rationalizing the numerator of $\sqrt{\dfrac{5}{3}}$ results to \begin{array}{l} \sqrt{\dfrac{5}{3}} \cdot \sqrt{\dfrac{5}{5}} \\\\= \sqrt{\dfrac{25}{15}} \\\\= \dfrac{5}{\sqrt{15}} .\end{array}

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