Trigonometry Examples

$- \sqrt{\frac{36}{100}}$

Step 1

Cancel the common factor of $36$ and $100$ .

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Step 1.1

Factor $4$ out of $36$ .

$- \sqrt{\frac{4 (9)}{100}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $100$ .

$- \sqrt{\frac{4 \cdot 9}{4 \cdot 25}}$

Step 1.2.2

Cancel the common factor.

$- \sqrt{\frac{4 \cdot 9}{4 \cdot 25}}$

Step 1.2.3

Rewrite the expression.

$- \sqrt{\frac{9}{25}}$

Step 2

Rewrite $\sqrt{\frac{9}{25}}$ as $\frac{\sqrt{9}}{\sqrt{25}}$ .

$- \frac{\sqrt{9}}{\sqrt{25}}$

Step 3

Simplify the numerator.

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Step 3.1

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

$- \frac{\sqrt{3^{2}}}{\sqrt{25}}$

Step 3.2

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

$- \frac{3}{\sqrt{25}}$

Step 4

Simplify the denominator.

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Step 4.1

Rewrite $25$ as $5^{2}$ .

$- \frac{3}{\sqrt{5^{2}}}$

Step 4.2

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

$- \frac{3}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{5}$

Decimal Form:

$- 0.6$