Question

Square root of 131 lies between which two numbers?

Answer 1

11 and 12

Explanation:

To figure this out, write out the squares of numbers. Wherever the number lies between the squares, it's square root will lie between those square roots.

`10^2 = 100`
`11^2 = 121`
`12^2 = 144` `color(white)0stackrel(color(red)larr color(red)"131 lies between these two"`
`13^2 = 169`

`131` lies between `121` and `144`, so it's square root will lie between their square roots. It will be between `11` and `12`.

CHECK: What is the `sqrt131`?

`sqrt131 = 11.45`

This number between `11` and `12`, so the answer is correct.