Show an example of a rational number that is between √ 10
and √ 11
One example of a rational number between √10 and √11 is 3.2.
To find a rational number between √10 and √11, we can start by simplifying these square roots:
√10 can also be written as √(2 * 5).
√11 is already in simplified form.
Now, we know that √10 is approximately 3.16, and √11 is approximately 3.32.
To find a rational number between these, we can take their average:
(3.16 + 3.32) / 2 = 6.48 / 2 = 3.24
Therefore, a rational number that lies between √10 and √11 is 3.24.