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

Question

1611 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-27T05:28:11

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

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

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