To find a rational number between \(\sqrt{10}\) and \(\sqrt{11}\), we first calculate the approximate values of these square roots:
- \(\sqrt{10} \approx 3.162\)
- \(\sqrt{11} \approx 3.317\)
A simple rational number that lies between these two values is \( \frac{32}{10} = 3.2\).
Thus, \(3.2\) is a rational number that is between \(\sqrt{10}\) and \(\sqrt{11}\).