Between which two integers does √11 lie?

A. 2 and 3

B. 3 and 4

C. 5 and 6

D. 10 and 12

B. 3 and 4

Step-by-step explanation:

In order to find the numbers between which √11 lies, let us first guess the nearest perfect squares to √11. These are 9 and 16. Where 9 comes just before 11 and 16 comes just after 11. Now we have to write all three of them in ascending order.

√9, √11, √16

also

√9 = 3 and √16 = 4

and

√9 < √11 < √16

3 < √11 < 4

hence we can see that √11 must lies between 3 and 4