Show an example of an irrational number between 9 and 11
√100
√20
√10
√99
√10 is an example of an irrational number between 9 and 11.
An example of an irrational number between 9 and 11 is √10.
To find an irrational number between 9 and 11, we can consider the square root (√) of certain numbers. Remember that an irrational number cannot be expressed as a simple fraction or as a decimal that terminates or repeats indefinitely.
Let's look at the options you provided:
√100 = 10, which is not between 9 and 11
√20 ≈ 4.472, which is also not between 9 and 11
√10 ≈ 3.162, which is still not between 9 and 11
√99 ≈ 9.949, which is between 9 and 11.
Therefore, √99 is an example of an irrational number between 9 and 11.