Question

What is the square root of -72?

Answer 1

`=6isqrt2`

Explanation:

-72 doesn't actually have a real square root, but it does have an imaginary one.

`sqrt(-72)`
`=sqrt(-1*8*9)`
`=sqrt(-1*2^2*2*3^2)`
`=(2*3)sqrt(-1*2)`
`=6sqrt(-1*2)`

We will be able to bring out -1, by denoting it as `i`.

`=6sqrt(-1*2)`
`=6isqrt2`
=