Question

Find the value of |z| where z^3 = i, first write |i| in polar form.

Answer 1

`z^3=i=e^(i\pi/2)\implies z\in\left\{e^(i\pi/6),e^(5i\pi/6),e^(3i\pi/2)\right\}`

In each case,
`|z|=1`.