Simplify square root of 49x^16y^14

$\sqrt{49 x^{16} y^{14}}$

Step 1

Rewrite $49 x^{16} y^{14}$ as ${(7 x^{8} y^{7})}^{2}$ .

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

Step 2

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

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

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