Answer
$2\sqrt{5x}$
Work Step by Step
Simplify the radicals that can still be simplified by factoring the radicand so that one of the factors is a perfect square:
$=2\sqrt{9(5x)}-2\sqrt{4(5x)}
\\=2\sqrt{3^2(5x)} -2\sqrt{2^2(5x)}
\\=2\cdot 3\sqrt{5x} -2\cdot 2\sqrt{5x}
\\=6\sqrt{5x}-4\sqrt{5x}$
RECALL:
For any real numbers $, a, b,$ and $c$,
$ac+bc=(a+b)c$
Use the rule above to combine like terms:
$=(6-4)\sqrt{5x}
\\=2\sqrt{5x}$
