Question

Between which two integers does √11 lie?

A.2 and 3
B.3 and 4
C.5 and 6
D.10 and 12

Answer 1

B.3 and 4

Explanation:

3x3=9

4x4=16

so, 11 goes between 3 and 4

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Answer 2

B. 3 and 4

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