Simplify fourth root of y^6

$\sqrt[4]{y^{6}}$

Factor out $y^{4}$ .

$\sqrt[4]{y^{4} y^{2}}$

Pull terms out from under the radical.

$y \sqrt[4]{y^{2}}$

Rewrite $\sqrt[4]{y^{2}}$ as $\sqrt{\sqrt{y^{2}}}$ .

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

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

$y \sqrt{y}$

Simplify fourth root of y^6

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