Answer
$2x\sqrt{3}$
Work Step by Step
$\sqrt{2x} \cdot \sqrt{6x}$
By the product rule for square roots
$=\sqrt{2x \cdot 6x}$
$=\sqrt{12x^{2}}$
$=\sqrt{4\cdot3\cdot x^{2}}$
$=\sqrt{4} \cdot \sqrt{x^{2}} \cdot \sqrt{3}$
$=2x\sqrt{3}$
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