Question

Show an example of an irrational number between 9 and 11

square root 99
square root 20
square root 100
square root 10

Answer 1

To find an irrational number between 9 and 11, we can check the following square roots from your list:

1. **√99**: This is approximately 9.95, which is an irrational number and falls between 9 and 11.
2. **√20**: This is approximately 4.47, which does not fall between 9 and 11.
3. **√100**: This equals 10, which is not irrational but is between 9 and 11.
4. **√10**: This is approximately 3.16, which does not fall between 9 and 11.

Among the options you provided, **√99** is an example of an irrational number between 9 and 11.