Simplify:
1.SquareRoot(-144)
2.SquareRoot(-64x^4)
3.SquareRoot(-13)*SquareRoot(-26)
4.(-2i)(-6i)(4i)
5. i^13
6. i3^8
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-iSquareRoot(3))/(5-iSquareRoot(3))
15. Find the sum of ix2 – (2 + 3i)x + 2 and 4x2 + (5 + 2i)x – 4i.
Solve each equation:
16. 5x^2 + 5 = 0
17. 2x^2 + 12 = 0
18. -3x^2 – 9 = 0
19. (2/3)x^2 + 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