Question

How do you simplify `(-9)^(1/2)`?

Answer 1

`(-9)^(1/2)=3i`.

Explanation:

`x^(1/2)` means `sqrtx`, hence `(-9)^(1/2)` is `sqrt(-9)` and it's solution is not possible in real number domain.

However, if the domain is complex numbers, `sqrt(-9)=sqrt(-1)xxsqrt9=ixx3=3i`.

Hence `(-9)^(1/2)=3i`.