Show an example of a rational number that is between √10 and √11
A. 10/3
B. 3.1
C. 16.5
D. 3.4
A. 10/3
To determine which answer choice is a rational number between √10 and √11, we can approximate the values of √10 and √11 and check which answer choice falls in between.
√10 ≈ 3.16
√11 ≈ 3.32
Looking at the answer choices:
A. 10/3 ≈ 3.33
B. 3.1 < √10
C. 16.5 > √11
D. 3.4 < √11
Based on the approximations, we can conclude that answer choice A, 10/3, is a rational number between √10 and √11.