To simplify \(\sqrt{799}\), we can first try to see if \(799\) can be factored to find any perfect squares. The prime factorization of \(799\) is:
\[ 799 = 17 \times 47 \]
Both \(17\) and \(47\) are prime numbers, and since there are no perfect square factors other than \(1\), we cannot simplify \(\sqrt{799}\) further.
Thus, \( \sqrt{799} \) is already in its simplest form. If you need a decimal approximation, it is approximately:
\[ \sqrt{799} \approx 28.3 \]
However, the simplest exact form remains:
\[ \sqrt{799} \]