Learning Resources

Complex Numbers

Answers to Self Test

1.  - 4 - 3i                2.  - 8 + 7i                3.  3                   4.  6 - 3i 

5.            6.  29                       7.  4                    8. 192 - 69i  

9.  i                        10. 

11. (a)  

      (b) Since is a root of the equation x³ = 1, then its conjugate is also a root of the equation. Thus   is a root of the equation and by definition is also a cube root on 1. The third cube root of 1 is the obvious answer of 1.