The image shows the expression $\sqrt{\frac{5}{2}}$, which is the square root of the fraction $\frac{5}{2}$.

To simplify this:

$\sqrt{\frac{5}{2}} = \frac{\sqrt{5}}{\sqrt{2}}$

We can rationalize the denominator by multiplying the numerator and denominator by $\sqrt{2}$:

$\frac{\sqrt{5}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{5} \times \sqrt{2}}{2} = \frac{\sqrt{10}}{2}$

Thus, the simplified form of $\sqrt{\frac{5}{2}}$ is:

$\frac{\sqrt{10}}{2}$

Would you like further details on this process or have any specific questions?

Here are 5 related questions you might find helpful:

1. How do you simplify the square root of a fraction?
2. Why is rationalizing the denominator important?
3. How do you approximate square roots like $\sqrt{10}$?
4. Can square roots of fractions always be simplified this way?
5. What are other methods for simplifying square root expressions?

Tip: When working with square roots of fractions, always check if the denominator can be simplified or rationalized for easier handling.