Algebra Examples

$\sqrt{y^{7}}$

Step 1

Rewrite $y^{7}$ as ${(y^{3})}^{2} y$ .

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Step 1.1

Factor out $y^{6}$ .

$\sqrt{y^{6} y}$

Step 1.2

Rewrite $y^{6}$ as ${(y^{3})}^{2}$ .

$\sqrt{{(y^{3})}^{2} y}$

$\sqrt{{(y^{3})}^{2} y}$

Step 2

Pull terms out from under the radical.

$y^{3} \sqrt{y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$