## Elementary Algebra

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 $\frac{1}{4}$.