Trigonometry Examples

$8 (2 (\frac{6}{2} \cdot \sqrt{27}))$

Step 1

Divide $6$ by $2$ .

$8 (2 (3 \cdot \sqrt{27}))$

Step 2

Rewrite $27$ as $3^{2} \cdot 3$ .

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Step 2.1

Factor $9$ out of $27$ .

$8 (2 (3 \cdot \sqrt{9 (3)}))$

Step 2.2

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

$8 (2 (3 \cdot \sqrt{3^{2} \cdot 3}))$

$8 (2 (3 \cdot \sqrt{3^{2} \cdot 3}))$

Step 3

Pull terms out from under the radical.

$8 (2 (3 \cdot (3 \sqrt{3})))$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $3$ .

$8 (2 (9 \sqrt{3}))$

Step 4.2

Multiply $9$ by $2$ .

$8 (18 \sqrt{3})$

Step 4.3

Multiply $18$ by $8$ .

$144 \sqrt{3}$

$144 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$144 \sqrt{3}$

Decimal Form:

$249.41531628 \dots$

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