Algebra Examples

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

Step 1

Factor out $y^{4}$ .

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

Step 2

Pull terms out from under the radical.

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

Step 3

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

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

Step 4

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

$y \sqrt{y}$