To determine whether the product of \(\sqrt{49}\) and \(13\) will be rational or irrational, we first identify what \(\sqrt{49}\) is:
\[ \sqrt{49} = 7 \]
Now, we consider the product:
\[ 7 \times 13 = 91 \]
Since both \(7\) and \(13\) are rational numbers, their product will also be rational.
Therefore, the answer is \(1\) for rational.