Answer
$2\sqrt x$
Work Step by Step
$\sqrt[4] {16x^{2}}=(16x^{2})^{1/4}=16^{1/4}(x^{2})^{1/4}=4^{2/4}x^{2/4}=(4x)^{1/2}=\sqrt {4x}=2\sqrt x$
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