Trigonometry Examples

$2 \sqrt{2 \cdot 3^{6}}$

Step 1

Raise $3$ to the power of $6$ .

$2 \sqrt{2 \cdot 729}$

Step 2

Multiply $2$ by $729$ .

$2 \sqrt{1458}$

Step 3

Rewrite $1458$ as $27^{2} \cdot 2$ .

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Step 3.1

Factor $729$ out of $1458$ .

$2 \sqrt{729 (2)}$

Step 3.2

Rewrite $729$ as $27^{2}$ .

$2 \sqrt{27^{2} \cdot 2}$

$2 \sqrt{27^{2} \cdot 2}$

Step 4

Pull terms out from under the radical.

$2 (27 \sqrt{2})$

Step 5

Multiply $27$ by $2$ .

$54 \sqrt{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$54 \sqrt{2}$

Decimal Form:

$76.36753236 \dots$

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