Femtobytes
Problem type

All the n-th roots of a complex number

What it solves
Find every square root, cube root or higher root of a complex number. There are always exactly n of them, equally spaced round a circle, and each one is checked by raising it back to the power.
Subject
Complex Numbers
Topic
Length and angle
Also called
nth roots, cube root of a complex number, roots of a complex number
Your problem

Find all the cube roots of this complex number: every ww that satisfies the equation.

w3=−8w^{3} = -8
Invent a new one: