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.
