Simplify square root of 25x^2y^4

$\sqrt{25 x^{2} y^{4}}$

Step 1

Rewrite $25 x^{2} y^{4}$ as ${(5 x y^{2})}^{2}$ .

$\sqrt{{(5 x y^{2})}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$5 x y^{2}$

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