Trigonometry Examples

$\sqrt{\frac{361}{36}}$

Step 1

Rewrite $\sqrt{\frac{361}{36}}$ as $\frac{\sqrt{361}}{\sqrt{36}}$ .

$\frac{\sqrt{361}}{\sqrt{36}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $361$ as $19^{2}$ .

$\frac{\sqrt{19^{2}}}{\sqrt{36}}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{19}{\sqrt{36}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $36$ as $6^{2}$ .

$\frac{19}{\sqrt{6^{2}}}$

Step 3.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{19}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{6}$

Decimal Form:

$3.1\overline{6}$

Mixed Number Form:

$3 \frac{1}{6}$