# Principal root of a Complex Number

## Homework Statement

Find all the roots in rectangular coordinates, exhibit them as vertices of certain squares, and point out which is the principal root.

## The Attempt at a Solution

The problem is $$(-8 -8\sqrt{3}i)^{\frac{1}{4}}$$ and I found the four roots easily to be

$$\pm(\sqrt{3} - i), \pm(1 + \sqrt{3}i)$$. So when it says to exhibit them as vertices of certain squares does this mean I should just graph the four points? and it should be a square.

Also as for which point is the principal root I have no clue. I am guessing it has something to do with principal argument but I am having trouble finding much information on principal roots.