Posted by **Brian** on Friday, February 8, 2008 at 8:00pm.

Operations with Complex Numbers

Simplify.

1. sqrt(-144)

2. sqrt(-64x^4)

3. sqrt(-13)*sqrt(-26)

4. (-2i)(-6i)(4i)

5. i13

6. i38

7. (5 – 2i) + (4 + 4i)

8. (3 – 4i) – (1 – 4i)

9. (3 + 4i)(3 – 4i)

10. (6 – 2i)(1 + i)

11. (4i)/(3+i)

12. (10+i)/(4-i)

13. (-5 + 2i)(6 – i)(4 + 3i)

14. (5-i*sqrt(3))/(5+i*sqrt(3))

15. Find the sum of

ix2 – (2 + 3i)x + 2 and 4x2 + (5 + 2i)x – 4i.

Solve each equation.

16. 5x2 + 5 = 0

17. 2x2 + 12 = 0

18. -3x2 – 9 = 0

19. (2/3)x2 + 30 = 0

Find the values of m and n that make each equation true.

20. 8 + 15i = 2m + 3ni

21. (2m + 5) + (1 – n)i = -2 + 4i

22. (m + 2n) + (2m – n)i = 5 + 5i

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