#### Answer

False

#### Work Step by Step

Checking if the statement is true or not by simplifying it, we obtain:
$\sqrt \frac{1}{2}=\frac{\sqrt 1}{\sqrt 2}=\frac{1}{\sqrt 2}\\\\=\frac{1}{\sqrt 2} \times \frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}$
Therefore, $\sqrt \frac{1}{2}$ is not equal to $\frac{1}{4}$.