Answer
$8\sqrt{2}$
Work Step by Step
Simplify the radicals that can still be simplified by factoring the radicand so that one of the factors is a perfect square:
$=\sqrt{25(2)}+\sqrt{9(2)}
\\=\sqrt{5^2(2)} +\sqrt{3^2(2)}
\\=5\sqrt{2} + 3\sqrt{2}$
RECALL:
For any real numbers $a, b,$ and $c$,
$ac+bc=(a+b)c$
Use the rule above to combine like terms:
$=(5+3)\sqrt{2}
\\=8\sqrt{2}$
