To determine if \(\sqrt{85}\) is between 9 and 10, we can calculate the squares of 9 and 10:
\[ 9^2 = 81 \]
\[ 10^2 = 100 \]
Since \(85\) is greater than \(81\) and less than \(100\), it follows that:
\[ 9^2 < 85 < 10^2 \]
Taking the square root of all parts gives us:
\[ 9 < \sqrt{85} < 10 \]
Thus, \(\sqrt{85}\) is indeed between 9 and 10.