1. ## Confused about what professor is asking or how to solve problem

I don't understand what the teacher is asking or how to solve #2. Can anyone offer some assistance? Much appreciated!

2. ## Re: Confused about what professor is asking or how to solve problem

let $z=\sqrt{3}-i = r e^{i \theta}$

$\sqrt[3]{z} = r^{1/3} e^{\frac{i \theta}{3}}$

3. ## Re: Confused about what professor is asking or how to solve problem

I got it, thank you!

4. ## Re: Confused about what professor is asking or how to solve problem

Originally Posted by familiar1985

I don't understand what the teacher is asking or how to solve #2. Can anyone offer some assistance? Much appreciated!
You had better ask your instructor what exactly he/she means by $\sqrt[3]{\sqrt3-i}$.
I argue that such notation is ambiguous. Today's complex annalist do not like radicals applied to complex numbers.
You have gotten two replies. One assumes the notation asks about what is called the principal cube root.
The other seems to imply that it asks for the three cube roots (I may have missed the intent there)