Finite Math Examples

$\frac{- \sqrt{9}}{\sqrt{36}}$

Step 1

Combine $\sqrt{9}$ and $\sqrt{36}$ into a single radical.

$- \sqrt{\frac{9}{36}}$

Step 2

Cancel the common factor of $9$ and $36$ .

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Step 2.1

Factor $9$ out of $9$ .

$- \sqrt{\frac{9 (1)}{36}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $9$ out of $36$ .

$- \sqrt{\frac{9 \cdot 1}{9 \cdot 4}}$

Step 2.2.2

Cancel the common factor.

$- \sqrt{\frac{9 \cdot 1}{9 \cdot 4}}$

Step 2.2.3

Rewrite the expression.

$- \sqrt{\frac{1}{4}}$

Step 3

Rewrite $\sqrt{\frac{1}{4}}$ as $\frac{\sqrt{1}}{\sqrt{4}}$ .

$- \frac{\sqrt{1}}{\sqrt{4}}$

Step 4

Any root of $1$ is $1$ .

$- \frac{1}{\sqrt{4}}$

Step 5

Simplify the denominator.

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Step 5.1

Rewrite $4$ as $2^{2}$ .

$- \frac{1}{\sqrt{2^{2}}}$

Step 5.2

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

$- \frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$