Answer
$3\sqrt{x}-x\sqrt{3}$
Work Step by Step
Using the Distributive Property and the properties of radicals, then,
\begin{array}{l}
\sqrt{3x}\left( \sqrt{3}-\sqrt{x} \right)
\\=
\sqrt{9x}-\sqrt{3x^2}
\\=
\sqrt{9\cdot x}-\sqrt{x^2\cdot3}
\\=
3\sqrt{x}-x\sqrt{3}
.\end{array}