Simplify the Radical Expression square root of 1/4

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

Step 1

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

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

Step 2

Any root of $1$ is $1$ .

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

Step 3

Simplify the denominator.

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

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

Pull terms out from under the radical.

$\frac{1}{| 2 |}$

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$\frac{1}{2}$