Question

Square root of `65` lies between which two numbers (not more than one decimal point)?

Answer 1

Square root of `65` lies between `8.0` and `8.1`.

Explanation:

Squares of natural numbers are `{1,4,9,16,25,36,49,64,81,...}`, which are squares of `{1,2,3,4,5,6,7,8,9,....}`

As `65` lies between `64` and `81`, square root of `65` lies between `8` and `9`

Further, `8.1^2=65.61` and as `8.0^2=64`, square root of `65` lies between `8.0` and `8.1`.