Precalculus Examples

$\sqrt[4]{16 a^{4} b^{5}}$

Step 1

Rewrite $16 a^{4} b^{5}$ as ${(2 a b)}^{4} b$ .

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Step 1.1

Rewrite $16$ as $2^{4}$ .

$\sqrt[4]{2^{4} a^{4} b^{5}}$

Step 1.2

Factor out $b^{4}$ .

$\sqrt[4]{2^{4} a^{4} (b^{4} b)}$

Step 1.3

Rewrite $2^{4} a^{4} b^{4}$ as ${(2 a b)}^{4}$ .

$\sqrt[4]{{(2 a b)}^{4} b}$

$\sqrt[4]{{(2 a b)}^{4} b}$

Step 2

Pull terms out from under the radical.

$2 a b \sqrt[4]{b}$

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