Answer
$8\sqrt{5}+15\sqrt{3}$
Work Step by Step
Factor the radicands so that one of the factors is a perfect square:
$=2\sqrt{16(5)}+3\sqrt{25(3)}
\\=2\sqrt{4^2(5)} +3\sqrt{5^2(3)}$
Simplify to obtain:
$\\=2\cdot 4\sqrt{5}+3\cdot 5\sqrt{3}
\\=8\sqrt{5}+15\sqrt{3}$
