Answer
$3\sqrt{3x}$
Work Step by Step
$\sqrt{192x}=\sqrt{64\cdot 3\cdot x}=8\sqrt{3x}$
$\sqrt{75x}=\sqrt{25\cdot 3\cdot x}=5\sqrt{3x}$
$\sqrt{192x}-\sqrt{75x}=8\sqrt{3x}-5\sqrt{3x}=3\sqrt{3x}$
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