Precalculus Examples

$\sqrt{9 a^{3}} + \sqrt{a}$

Step 1

Rewrite $9 a^{3}$ as ${(3 a)}^{2} a$ .

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Step 1.1

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} a^{3}} + \sqrt{a}$

Step 1.2

Factor out $a^{2}$ .

$\sqrt{3^{2} (a^{2} a)} + \sqrt{a}$

Step 1.3

Rewrite $3^{2} a^{2}$ as ${(3 a)}^{2}$ .

$\sqrt{{(3 a)}^{2} a} + \sqrt{a}$

$\sqrt{{(3 a)}^{2} a} + \sqrt{a}$

Step 2

Pull terms out from under the radical.

$3 a \sqrt{a} + \sqrt{a}$

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