# Math Help - Complex 5th Roots

1. ## Complex 5th Roots

Can someone please show me how to find the complex 5th roots of z=-sqrt(3)=i .

2. Originally Posted by collegemath
Can someone please show me how to find the complex 5th roots of z=-sqrt(3)=i .
Convert to polar form. Use deMoivre's Theorem. You will find many examples of this type of question in this subforum.

If you need more help, please show all your work and say where you get stuck.

3. Originally Posted by collegemath
Can someone please show me how to find the complex 5th roots of z=-sqrt(3)=i .
Do you mean $z=-\sqrt3+i$?
Or $z=-\sqrt3-i$?

Anyway:
1. Find the modulus and argument of z (i.e. write z in polar form)

2. Use DeMoivre to calculate $\sqrt[5]{z}$= $z^\frac{1}{5}$