Simplify square root of 64x^4y^8

$\sqrt{64 x^{4} y^{8}}$

Step 1

Rewrite $64 x^{4} y^{8}$ as ${(8 x^{2} y^{4})}^{2}$ .

$\sqrt{{(8 x^{2} y^{4})}^{2}}$

Step 2

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

$8 x^{2} y^{4}$

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