Answer
$2x\sqrt{3x}$
Work Step by Step
Using the properties of radicals, the expression $
x\sqrt{75x}-\sqrt{27x^3}
$ simplifies to
\begin{array}{l}
x\sqrt{25\cdot3x}-\sqrt{9x^2\cdot3x}
\\=
x\cdot5\sqrt{3x}-3x\sqrt{3x}
\\=
5x\sqrt{3x}-3x\sqrt{3x}
\\=
2x\sqrt{3x}
.\end{array}
