Answer
$\dfrac{12}{p}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[]{\dfrac{144}{p^2}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt[]{144}}{\sqrt[]{p^2}}
\\\\=
\dfrac{\sqrt[]{(12)^2}}{\sqrt[]{(p)^2}}
\\\\=
\dfrac{12}{p}
\end{array}
* Note that it is assumed that all variables represent positive numbers.