Answer
$\dfrac{15+2\sqrt{3}}{6}$
Work Step by Step
Using the properties of radicals, the expression $
\dfrac{5}{\sqrt[]{4}}+\dfrac{\sqrt[]{3}}{3}
$ simplifies to
\begin{array}{l}
\dfrac{5}{2}+\dfrac{\sqrt[]{3}}{3}
\\\\=
\dfrac{3(5)+2\sqrt{3}}{6}
\\\\=
\dfrac{15+2\sqrt{3}}{6}
.\end{array}
