Which of the following is between π and √11

A. √12

B. √8

C. √7

D. √10

1 answer

To determine which option is between π and √11, we need to find the values of π and √11.

The approximate value of π is 3.1416.

To find the exact value of √11, we can square different numbers until we find one that is close to 11.

2 squared is 4
3 squared is 9
4 squared is 16
So, √11 is between 3 and 4.

Comparing the values:
π is approximately 3.1416
√11 is between 3 and 4

Since 3.1416 is less than 3, and √11 is between 3 and 4, the value of π is less than √11.

Therefore, the only option that is between π and √11 is √10.

So, the answer is D. √10.