Answer
$3\sqrt{5}$
Work Step by Step
Simplify each radical to obtain:
$=\sqrt{5} +\sqrt{4(5)}
\\=\sqrt{5} +\sqrt{2^2(5)}
\\=\sqrt{5}+2\sqrt{5}$
RECALL:
The distributive property states that for any real numbers a, b, and c:
(1) $ac + bc = (a+b)c$
(2) $ac-bc=(a-b)c$
Use rule (1) above to combine like terms and obtain:
$=(1+2)\sqrt{5}
\\=3\sqrt{5}$
