Algebra Examples

$\sqrt{\frac{1}{9}}$

Step 1

Rewrite $\sqrt{\frac{1}{9}}$ as $\frac{\sqrt{1}}{\sqrt{9}}$ .

$\frac{\sqrt{1}}{\sqrt{9}}$

Step 2

Any root of $1$ is $1$ .

$\frac{1}{\sqrt{9}}$

Step 3

Simplify the denominator.

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Step 3.1

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

$\frac{1}{\sqrt{3^{2}}}$

Step 3.2

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

$\frac{1}{3}$