Michigan State University - Diagnostic Exam

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4.3

  •   If √ --- i = - 1 then 1 ------ = 3 + 2i (?)

    a) 3-+-2i 5 b) 3---2i 5 c) 3-+-2i 13 d) 3---2i 13 e) 1- 1- 3 - 2i

Solution:

1 3 - 2i 3 - 2i 3 - 2i =- ------= ------2 = ------ 3+2i 3 - 2i 9 - 4i 9 + 4

Diagnostic:

If you miss this question please review complex numbers.

Also, see 1.7: Factoring .

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July 15, 2008