Show an example of a rational number that is between √10 and √11
3.1
16/5
3.4
10/3
10/3
To find a rational number that is between √10 and √11, we can simplify both square roots as rational numbers using decimals.
√10 is approximately 3.162 and √11 is approximately 3.317.
Now we can see that 16/5, which is approximately 3.2, lies between √10 and √11, as 3.162 < 3.2 < 3.317.
So, the rational number between √10 and √11 is 16/5.