Precalculus Examples

$\ln (a^{2} \sqrt{b c^{3}})$

Step 1

Rewrite $b c^{3}$ as $c^{2} (b c)$ .

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Step 1.1

Factor out $c^{2}$ .

$\ln (a^{2} \sqrt{b (c^{2} c)})$

Step 1.2

Reorder $b$ and $c^{2}$ .

$\ln (a^{2} \sqrt{c^{2} b c})$

Step 1.3

Add parentheses.

$\ln (a^{2} \sqrt{c^{2} (b c)})$

$\ln (a^{2} \sqrt{c^{2} (b c)})$

Step 2

Pull terms out from under the radical.

$\ln (a^{2} c \sqrt{b c})$

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