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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