Simplify square root of 64x^6y^14

$\sqrt{64 x^{6} y^{14}}$

Step 1

Rewrite $64 x^{6} y^{14}$ as ${(8 x^{3} y^{7})}^{2}$ .

$\sqrt{{(8 x^{3} y^{7})}^{2}}$

Step 2

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

$8 x^{3} y^{7}$

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