Question

How do you simplify `sqrt(–(–7)^2)`?

Answer 1

`=>7i`

Explanation:

`sqrt(-(-7)^2)`

`=sqrt(-49)`

`=sqrt((49)*(-1))`

`=sqrt(49)*sqrt(-1)`

`=sqrt(7^2)*sqrt(-1)`

`=(7)*(i)`

`=7i`

Answer 2

`sqrt(-(-7)^2)=+-7i`

Explanation:

`sqrt(-(-7)^2)=sqrt(-49)=sqrt(-1)sqrt(49)=+-i7=+-7i`

Over `RR`, we would only take the positive square root of `sqrt(a^2)`, but the square root function is multi-variable over `CC`, so we take both roots.