Answer
$7\sqrt{2}$
Work Step by Step
Factor each radicand so that one of the factors is a perfect square to obtain:
$=\sqrt{16(2)} + \sqrt{9(2)}
\\=\sqrt{4^2(2)}+\sqrt{3^2(2)}$
Simplify each radical to obtain:
$=4\sqrt{2} + 3\sqrt{2}$
Combine like radicals to obtain:
$=(4+3)\sqrt{2}
\\=7\sqrt{2}$
