Answer
$3\sqrt{x-3}$
Work Step by Step
Factor the radicand of the first radical to obtain:
$=\sqrt{4(x-3)}+\sqrt{x-3}
\\=\sqrt{2^2(x-3)} + \sqrt{x-3}
\\=2\sqrt{x-3} + \sqrt{x-3}$
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 the rule (1) above to combine like terms and obtain:
$=(2+1)\sqrt{x-3}
\\=3\sqrt{x-3}$
