Algebra Examples

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

Step 1

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

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

Step 2

Any root of $1$ is $1$ .

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

Step 3

Simplify the denominator.

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Step 3.1

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

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

Step 3.2

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

$y = \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{2}$

Decimal Form:

$y = 0.5$