Question

Between which two consecutive integers does 57 square lie

A 8 and 9

B 9 and 10

C 7 and 8

D 6 and 7

Answer 1

A 8 and 9

Explanation:

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 8 and x + 9. We are told the sum of x, x+8, and x+9 is equal to 57.

Answer 2

C: 7 and 8

Explanation:

The first few square numbers are:

1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100.

Lets check where
`√(57)` lies.

`√(1)=1`

`√(4)=2`

`√(9)=3`

`√(16)=4`

`√(25)=5`

`√(36)=6`

`√(49)=7`

`√(64)=8`

We can see that
`√(57)` lies between 7 and 8.

Note:
`√(57)` = 7.55, we can also see that 7.55 lies between 7 and 8.