Answer
$4x\sqrt 3$
Work Step by Step
$\frac{\sqrt {96x^3}}{\sqrt {2x}}=\sqrt \frac{96x^3}{2x}=\sqrt {48x^2}=\sqrt {48}\times\sqrt {x^2}=\sqrt {(16\times3)} \times x=\sqrt {16}\times\sqrt 3\times x=4\times\sqrt 3\times x= 4x\sqrt 3$
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