Answer
$2\sqrt{5}+5\sqrt{3}$
Work Step by Step
Using the Distributive Property and the properties of radicals the expression $
\sqrt{5}\left( 2+\sqrt{15} \right)
$ is equivalent to
\begin{array}{l}
\sqrt{5}\cdot2+\sqrt{5}\cdot\sqrt{15}
\\\\=
2\sqrt{5}+\sqrt{75}
\\\\=
2\sqrt{5}+\sqrt{25\cdot3}
\\\\=
2\sqrt{5}+5\sqrt{3}
.\end{array}
