Precalculus Examples

$\sqrt{3^{15}}$

Step 1

Raise $3$ to the power of $15$ .

$\sqrt{14348907}$

Step 2

Rewrite $14348907$ as $2187^{2} \cdot 3$ .

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Step 2.1

Factor $4782969$ out of $14348907$ .

$\sqrt{4782969 (3)}$

Step 2.2

Rewrite $4782969$ as $2187^{2}$ .

$\sqrt{2187^{2} \cdot 3}$

$\sqrt{2187^{2} \cdot 3}$

Step 3

Pull terms out from under the radical.

$2187 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2187 \sqrt{3}$

Decimal Form:

$3787.99511615 \dots$

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