Higher Algebra

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14. V- 15 ■ VIO ■ V2- 15. V- «« • V- a;*- 16. y/(3x^) ■ V - 3. 17. V(- «'''6) • VC- a&') • V(- »^)- 18. V(- ™*»^) • V(- ™»*') • -v/(- ™'«') • -v/C- ™''«)- 19. (V- 3 + V- 2) (7-3 + 7-5).
20. (37-5+47-6)(2V-5-3V-6).
21. (v'-a+v'-6)(V-a-V-6)- 22. [V-(« + 6) + V-6][v'-(a + 6)-V-6].
23. V-*^- 24. (V-a;)^- 35. V" «*• 26. (V- «)*• 27. y/(l-x)- ^{x -1). 28. VC^-ft)- V(6-«)- 29. i^.
30. ii8. 31. i". 32. ii". 83. i*+J'*. 34. i=6-isi.
35. Cy/-ayK 36. (-aV-a)*^- 37. V" 27-^-3.
38. V-8-V-2- 39. 6 V- 35 -=-
...2v'7. 40. y/B ^ i-^ - 5.
41. y/-a-i-y/-a^. 42. ^(,-ab)^^-b.
43. (^_6+V-8)-=-V-2. 44. (V- 12 - v'18)- V- 3.
45. i. 46. V 47. V 48. ^— ■ 49. -J— • Complex Numbers.
16. A Complex Number is the algebraic sum of a real and an imaginary number ; as, 3 ± 2 i.
The general form of a complex number is evidently a + hi, wherein a and h are real numbers.
When 6 = 0, we have any real number.
When a = 0, we have any imaginary number.
17. Two complex numbers which differ only in the sign of their imaginary terms are called Conjugate Complex Numbers ; as, 2 — 3 i and 2 + 3 i- IMAGINARY AND COMPLEX NUMBERS.


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