Answer
$11\sqrt{5x}$
Work Step by Step
Simplify each radical to obtain:
$=5\sqrt{9(5x)} - 2\sqrt{4(5x)}
\\=5\sqrt{3^2(5x)} - 2\sqrt{2^2(5x)}
\\=5(3)\sqrt{5x}- 2(2)\sqrt{5x}
\\=15\sqrt{5x} - 4\sqrt{5x}$
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 rule (2) above to combine like terms and obtain:
$=(15-4)\sqrt{5x}
\\=11\sqrt{5x}$
