Answer
$9\sqrt{2}$
Work Step by Step
Factor each radicand so that one of the factors is a perfect square:
$=\sqrt{25(2)} + \sqrt{16(2)}
\\=\sqrt{5^2(2)} + \sqrt{4^2(2)}$
Simplify each radical to obtain:
$=5\sqrt{2} + 4\sqrt{2}$
Combine like terms to obtain:
$=(5+4)\sqrt{2}
\\=9\sqrt{2}$
