Show an example of a rational number that is between 10−−√ and 11−−√.

Answer 1

To find a rational number that is between √10 and √11, we need to find two perfect square numbers that √10 and √11 lie between.

√10 is between √9 and √16, so we can use the rational number 3/2 which is between 9/4 and 16/4.

√11 is between √9 and √16, so we can use the rational number 4/3 which is between 9/4 and 16/4.

Therefore, a rational number that is between √10 and √11 is 3/2.

Answer 2

Show an example of a rational number that is between √10 and √11.

a. 3.4
b. 16/5
c. 3.1
d. 10/3