Show an example of a rational number that is between 10√ and 11√
3.4
165
103
3.1
3.1 is an example of a rational number that is between 10√ and 11√.
To determine a rational number that lies between √10 and √11, we can take the average of these two values.
Step 1: Calculate the average of √10 and √11.
√10 ≈ 3.1622
√11 ≈ 3.3166
Average = (3.1622 + 3.3166) / 2
= 6.4788 / 2
= 3.2394
Step 2: Round the average to an appropriate decimal place.
Rounded to one decimal place, the rational number between √10 and √11 is approximately 3.2.
Therefore, 3.2 is an example of a rational number between 10√ and 11√.