Answer
$2x\sqrt{3x}$
Work Step by Step
$\sqrt{2x^{2}} \cdot \sqrt{6x}$
By the product rule for square roots
$=\sqrt{2x^{2} \cdot 6x}$
$=\sqrt{12x^{3}}$
$=\sqrt{4\cdot x^{2} \cdot 3 \cdot x}$
$=\sqrt{4} \cdot \sqrt{x^{2}} \cdot \sqrt{3x}$
$=2x\sqrt{3x}$
