4-4 Practice Complex Numbers Simplify.

1. ââ36

2. ââ8 â ââ32

3. ââ 15 â ââ 25

4. (-3i) (4i)(-5i)

5. (7i) 2 (6i)

6. ð 42

7. ð 55

8. ð 89

9. (5 - 2i) + (-13 - 8i)

10. (7 - 6i) + (9 + 11i)

11. (-12 + 48i) + (15 + 21i)

12. (10 + 15i) - (48 - 30i)

13. (28 - 4i) - (10 - 30i)

14. (6 - 4i) (6 + 4i)

15. (8 - 11i) (8 - 11i)

16. (4 + 3i) (2 - 5i)

17. (7 + 2i) (9 - 6i)

18. 6 + 5ð â2ð

19. 2 7 â 8ð

20. 3 - ð 2 - ð

21. 2 â 4ð 1 + 3ð

Solve each equation.

22. 5ð 2 + 35 = 0

23. 2m2 + 10 = 0

24. 4m2 + 76 = 0

25. â2m2 â 6 = 0

26. â5m2 â 65 = 0

27. 3 4 x 2 + 12 = 0

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

28. 15 - 28i = 3â + (4m)i

29. (6 - â) + (3m)i = -12 + 27i

30. (3â + 4) + (3 - m)i = 16 - 3i

31. (7 + m) + (4â - 10)i = 3 - 6i

32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the circuit is 7 - 5j ohms. Add these complex numbers to find the total impedance in the circuit.

33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 - j amps and the impedance Z is 3 + 2j ohms.