Question

Which of the following inequalities is true?

a. 8 < √115 < 9

b. 9 < √115 < 10

c. 10 < √115 < 11

d. 11 < √115 < 12

Answer 1

\[\sqrt{115} \approx 10.724\] So what A is saying is "10.724 is between 8 and 9". We know this is false because 10.724 is greater than both of those numbers.

B. is saying "10.724 is between 9 and 10. Again this is false

C. is saying "10.724 is between 10 and 11. This is true so the answer is C