Question

The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below: __^4 = 16 Find them.

Answer 1

Explanation:

Hello, we know that the z complex solutions of

`z^4=1`

are

1, i, -1, -i

so, the solutions of
`z^4=16=2^4` are

2, 2i, -2, -2i

Thank you