Solutions to Try Its

1. $\sqrt{-24}=0+2i\sqrt{6}$

2.

3. $\left(3 - 4i\right)-\left(2+5i\right)=1 - 9i$

4. $-8 - 24i$

5. $18+i$

6. $102 - 29i$

7. $-\frac{3}{17}+\frac{5i}{17}$

Solution to Odd-Numbered Exercises

1. Add the real parts together and the imaginary parts together.

3. i times i equals –1, which is not imaginary. (answers vary)

5. $-8+2i$

7. $14+7i$

9. $-\frac{23}{29}+\frac{15}{29}i$

11. 2 real and 0 nonreal

13.

15.

17. $8-i$

19. $-11+4i$

21. $2 - 5i$

23. $6+15i$

25. $-16+32i$

27. $-4 - 7i$

29. 25

31. $2-\frac{2}{3}i$

33. $4 - 6i$

35. $\frac{2}{5}+\frac{11}{5}i$

37. 15i

39. $1+i\sqrt{3}$

41. 1

43. –1

45. 128i

47. ${\left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)}^{6}=-1$

49. 3i

51. 0

53. 5 – 5i

55. –2i

57. $\frac{9}{2}-\frac{9}{2}i$