Algebra Examples

\sqrt{\frac{1}{4}}

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

Step 1

Rewrite

\sqrt{\frac{1}{4}}

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

\frac{\sqrt{1}}{\sqrt{4}}

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

\frac{\sqrt{1}}{\sqrt{4}}

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

Step 2

Any root of

1

$1$ is

1

$1$ .

\frac{1}{\sqrt{4}}

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

Step 3

Simplify the denominator.

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Step 3.1

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

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

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

Step 3.2

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

\frac{1}{2}

$\frac{1}{2}$

\frac{1}{2}

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{2}

$\frac{1}{2}$

Decimal Form:

0.5

$0.5$