Trigonometry Examples

$\sqrt{\frac{2 \cdot 27}{\frac{1}{8}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\sqrt{2 \cdot 27 \cdot 8}$

Step 2

Multiply $2 \cdot 27 \cdot 8$ .

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Step 2.1

Multiply $2$ by $27$ .

$\sqrt{54 \cdot 8}$

Step 2.2

Multiply $54$ by $8$ .

$\sqrt{432}$

Step 3

Rewrite $432$ as $12^{2} \cdot 3$ .

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Step 3.1

Factor $144$ out of $432$ .

$\sqrt{144 (3)}$

Step 3.2

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2} \cdot 3}$

Step 4

Pull terms out from under the radical.

$12 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{3}$

Decimal Form:

$20.78460969 \dots$