4-4 Skills Practice Complex Numbers Simplify.
1. √99
2. √49 27
3. √52x y 3 5
4. √− 108x 7
5. √− 81x 6
6. √− 23 • √− 46
7. (3i)(-2i)(5i)
8. i 11
9. i 65
10. (7 - 8i) + (-12 - 4i)
11. (-3 + 5i) + (18 - 7i)
12. (10 - 4i) - (7 + 3i)
13. (7 - 6i)(2 - 3i)
14. (3 + 4i)(3 - 4i)
15. 3i 8 − 6i
16. 3i 4 + 2i
Solve each equation.
17. 3x 3 = 0 2 +
18. 5x 125 = 0 2 +
19. 4x 20 = 0 2 +
20. − x 16 = 0 2 −
21. x 18 = 0 2 +
22. 8x 96 = 0 2 +
Find the values of ℓ and m that make each equation true.
23. 20 - 12i = 5ℓ + (4m)i
24. ℓ - 16i = 3 - (2m)i
25. (4 + ℓ) + (2m)i = 9 + 14i
26. (3 - m) + (7ℓ - 14)i = 1 + 7i
