Question

What is the sum of the integers between the square root of 12 and 40?

Answer 1

1.

the closest perfect squares of 12 are 9 and 16,

that is 9<12<16

so

`√(9)\ \textless \ √(12)\ \textless \ √(16)`


`3\ \textless \ √(12)\ \textless 4`

this means,
`√(12)` is 3 point something...


2.

similarly

36<40<49

so


`√(36)\ \textless \ √(40)\ \textless \ √(49)`


`6\ \textless \ √(40)\ \textless \ 7`

which means
`√(40)` is 6 point something...

3.

the sum of the integers between the square root of 12 and 40 is the sum of 4, 5 and 6, since 4 is the smallest integer after root 12, and 6 the greatest integer to before root of 40.


Answer: 15