An irrational number between 9 and 11 can be given by taking the square root of a number that is between 81 and 121 (since \(9^2 = 81\) and \(11^2 = 121\)).
From your options, the irrational number is:
\(\sqrt{99}\)
This number is between 9 and 11, and it is also irrational because it cannot be expressed as a fraction of two integers. Therefore, the correct answer is:
\(\sqrt{99}\)