An example of an irrational number between 9 and 11 is \( \sqrt{100} \).
To elaborate:
- The square root of 100 is 10, which is a rational number, so let’s find another.
- A true irrational number between 9 and 11 is \( \sqrt{98} \) because \( \sqrt{98} \approx 9.899\), which lies between 9 and 11.
In the context of your provided options, given they are symbolic representations (likely for square roots), \( \sqrt{100} \) (which equals 10) does not satisfy the requirement, but if we were to consider approximate values, \( \sqrt{98} \) is irrational and valid.
Another simple example of an irrational number between 9 and 11 is \( \pi + 6 \) (approximately 9.14) or \( e + 8 \) (approximately 10.72).