The sum of \( \sqrt{5} \) and \( \sqrt{7} \) can be expressed as:
\[ \sqrt{5} + \sqrt{7} \]
This sum cannot be simplified further into a simpler radical form. However, if you want a numerical approximation:
\[ \sqrt{5} \approx 2.236 \quad \text{and} \quad \sqrt{7} \approx 2.646 \]
Adding these gives:
\[ \sqrt{5} + \sqrt{7} \approx 2.236 + 2.646 \approx 4.882 \]
So, the sum \( \sqrt{5} + \sqrt{7} \) is approximately \( 4.882 \).