Algebra Examples

$- \sqrt{\frac{1}{81}}$

Step 1

Rewrite $\sqrt{\frac{1}{81}}$ as $\frac{\sqrt{1}}{\sqrt{81}}$ .

$- \frac{\sqrt{1}}{\sqrt{81}}$

Step 2

Any root of $1$ is $1$ .

$- \frac{1}{\sqrt{81}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $81$ as $9^{2}$ .

$- \frac{1}{\sqrt{9^{2}}}$

Step 3.2

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

$- \frac{1}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{9}$

Decimal Form:

$- 0.\overline{1}$