Answer
$2x\sqrt3$
Work Step by Step
Area is length multiplied by width. Let a be the area.
$a=\sqrt{6x}\times\sqrt{2x}\longrightarrow$ multiplication property of square roots
$a=\sqrt{12x^2}\longrightarrow$ factor out perfect squares
$a=\sqrt{4x^2\times3}\longrightarrow$ multiplication property of square roots
$a=\sqrt{4x^2}\times\sqrt3\longrightarrow$ simplify
$a=2x\sqrt3$
