Answer
$4\sqrt{x-2}$
Work Step by Step
Factor the radicand of the first radical to obtain:
$=\sqrt{9(x-2)}+\sqrt{x-2}
\\=\sqrt{3^2(x-2)} + \sqrt{x-2}
\\=3\sqrt{x-2} + \sqrt{x-2}$
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:
$=(3+1)\sqrt{x-2}
\\=4\sqrt{x-2}$
