Which of the following is a complex number where a ≠ 0 and b ≠ 0? A -7 B Pi C 4 + 9i D 2+ sqrt3

Step-by-step explanation:

Mathematics Stack Exchange

sign up log in

By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service.

Questions

Tags

Users

Badges

Ask

Up vote0Down vote

Find the three cube roots of z=−2+2iz=−2+2i

complex-numbers

nnth roots of a complex number:

For a positive integer nn, the complex number z=r(cos(θ)+isin(θ))z=r(cos⁡(θ)+isin⁡(θ)) has exactly nn distinct nnth roots given by

r√n(cos(θ+2πkn)+isin(θ+2πkn))rn(cos⁡(θ+2πkn)+isin⁡(θ+2πkn))

where k=0,1,2,...,n−1k=0,1,2,...,n−1

Find the three cube roots of z=−2+2iz=−2+2i

r=(−2)2+22−−−−−−

answer is

b.

11

hope you get this one right.