## Intermediate Algebra (12th Edition)

$\dfrac{p\sqrt{p+2}}{p+2}$
$\bf{\text{Solution Outline:}}$ To rationalize the denominator of the given expression, $\dfrac{p}{\sqrt{p+2}} ,$ multiply both the numerator and the denominator by the denominator. $\bf{\text{Solution Details:}}$ Multiplying both the numerator and the denominator by the denominator, the given expression is equivalent to \begin{array}{l}\require{cancel} \dfrac{p}{\sqrt{p+2}}\cdot\dfrac{\sqrt{p+2}}{\sqrt{p+2}} \\\\= \dfrac{p\sqrt{p+2}}{(\sqrt{p+2})^2} \\\\= \dfrac{p\sqrt{p+2}}{p+2} .\end{array}