Precalculus Examples

$\sqrt{b^{15}}$

Step 1

Rewrite $b^{15}$ as ${(b^{7})}^{2} b$ .

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Step 1.1

Factor out $b^{14}$ .

$\sqrt{b^{14} b}$

Step 1.2

Rewrite $b^{14}$ as ${(b^{7})}^{2}$ .

$\sqrt{{(b^{7})}^{2} b}$

$\sqrt{{(b^{7})}^{2} b}$

Step 2

Pull terms out from under the radical.

$b^{7} \sqrt{b}$

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