Pre-Algebra Examples

$\sqrt{w^{21}}$

Step 1

Rewrite $w^{21}$ as ${(w^{10})}^{2} w$ .

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Step 1.1

Factor out $w^{20}$ .

$\sqrt{w^{20} w}$

Step 1.2

Rewrite $w^{20}$ as ${(w^{10})}^{2}$ .

$\sqrt{{(w^{10})}^{2} w}$

$\sqrt{{(w^{10})}^{2} w}$

Step 2

Pull terms out from under the radical.

$w^{10} \sqrt{w}$

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