The expression $\frac{\sqrt{5}}{\sqrt{7}}$ can be simplified using the property of square roots:

$\frac{\sqrt{5}}{\sqrt{7}} = \sqrt{\frac{5}{7}}$

Thus, the simplified form is:

$\sqrt{\frac{5}{7}}$

If you want to rationalize the denominator (i.e., eliminate the square root from the denominator), you can multiply both the numerator and denominator by $\sqrt{7}$:

$\frac{\sqrt{5}}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} = \frac{\sqrt{35}}{7}$

So, the rationalized form is:

$\frac{\sqrt{35}}{7}$

Would you like more details or further clarification on any of the steps?

Here are some related questions to explore:

1. How do you simplify square roots when multiplying them?
2. What is rationalizing the denominator, and why is it used in math?
3. Can you explain the concept of surds and their simplification?
4. How do you perform operations (like addition or subtraction) with square roots?
5. What is the difference between rational and irrational numbers?

Tip: When you simplify square roots, always look for factors that can be paired into perfect squares, as they simplify directly!