Simplify square root of 16xy^2

$\sqrt{16 x y^{2}}$

Rewrite $16 x y^{2}$ as ${(4 y)}^{2} x$ .

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Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} x y^{2}}$

Move $x$ .

$\sqrt{4^{2} y^{2} x}$

Rewrite $4^{2} y^{2}$ as ${(4 y)}^{2}$ .

$\sqrt{{(4 y)}^{2} x}$

Pull terms out from under the radical.

$4 y \sqrt{x}$

Simplify square root of 16xy^2

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