Answer
$(24x+1)\sqrt{5x}$
Work Step by Step
Simplify the first radical by factoring the radicand so that at least one factor is a perfect square to obtain:
$=8\sqrt{9x^2(5x)} + \sqrt{5x}
\\=8\sqrt{(3x)^2(5x)} + \sqrt{5x}
\\=8(3x)\sqrt{5x} + \sqrt{5x}
\\=24x\sqrt{5x} + \sqrt{5x}$
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:
$=(24x+1)\sqrt{5x}$
