Solutions 12: Complex Numbers
Solutions to Try Its
1. [latex]\sqrt{-24}=0+2i\sqrt{6}[/latex] 2.
3. [latex]\left(3 - 4i\right)-\left(2+5i\right)=1 - 9i[/latex]
4. [latex]-8 - 24i[/latex]
5. [latex]18+i[/latex]
6. [latex]102 - 29i[/latex]
7. [latex]-\frac{3}{17}+\frac{5i}{17}[/latex]
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. [latex]-8+2i[/latex] 7. [latex]14+7i[/latex] 9. [latex]-\frac{23}{29}+\frac{15}{29}i[/latex] 11. 2 real and 0 nonreal 13.
15.
17. [latex]8-i[/latex]
19. [latex]-11+4i[/latex]
21. [latex]2 - 5i[/latex]
23. [latex]6+15i[/latex]
25. [latex]-16+32i[/latex]
27. [latex]-4 - 7i[/latex]
29. 25
31. [latex]2-\frac{2}{3}i[/latex]
33. [latex]4 - 6i[/latex]
35. [latex]\frac{2}{5}+\frac{11}{5}i[/latex]
37. 15i
39. [latex]1+i\sqrt{3}[/latex]
41. 1
43. –1
45. 128i
47. [latex]{\left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)}^{6}=-1[/latex]
49. 3i
51. 0
53. 5 – 5i
55. –2i
57. [latex]\frac{9}{2}-\frac{9}{2}i[/latex]Licenses & Attributions
CC licensed content, Specific attribution
- Precalculus. Provided by: OpenStax Authored by: Jay Abramson, et al.. Located at: https://openstax.org/books/precalculus/pages/1-introduction-to-functions. License: CC BY: Attribution. License terms: Download For Free at : http://cnx.org/contents/[email protected]..
