Answer
$5\sqrt{2}$
Work Step by Step
Simplify each radical to obtain
$\sqrt{4(2)} + 3\sqrt{2}
\\=\sqrt{2^2(2)}+3\sqrt{2}
\\=2\sqrt{2}+3\sqrt{2}.$
RECALL:
The distributive property states that for any real numbers a, b, and c,
$(ac+bc)=(a+b)c.$
Use the rule above to obtain
$(2+3)\sqrt{2}
\\=5\sqrt{2}.$
