Answer
$8\sqrt{5}$
Work Step by Step
Simplify each radical to obtain
$\sqrt{4(5)} + 6\sqrt{5}
\\=\sqrt{2^2(5)}+6\sqrt{5}
\\=2\sqrt{5}+6\sqrt{5}.$
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
$(2+6)\sqrt{5}
\\=8\sqrt{5}.$