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Worksheet: Cube Roots of Unity
Q1:
What is ?
- A
- B1
- C
- D0
Q2:
What is ?
Q3:
What is ?
- A
- B
- C
- D0
Q4:
If , where and are real numbers, then what is .
- A
- B
- C
- D
Q5:
Evaluate .
Q6:
Evaluate .
Q7:
Evaluate .
- A
- B
- C1
- D
- E
Q8:
Given that is one of the complex cubic roots of unity, find the complex conjugate of .
- A
- B
- C
- D
Q9:
Evaluate .
- A
- B
- C
- D1
- E
Q10:
Evaluate .
- A1
- B
- C
- D
- E
Q11:
Given that is one of the complex cubic roots of unity, find the complex conjugate of .
- A
- B
- C1
- D
Q12:
If , where is a positive integer and is one of the complex cubic roots of unity, then what is ?
Q13:
What is the smallest positive integer value of for which ?
Q14:
Write in its simplest form.
- A1
- B
- C
Q15:
Write in its simplest form.
- A
- B1
- C
Q16:
Write in its simplest form.
- A
- B
- C1
Q17:
Write in its simplest form.
- A
- B1
- C
Q18:
Write in its simplest form.
- A
- B1
- C
Q19:
Write in its simplest form.
- A
- B
- C1
Q20:
Write in its simplest form.
- A1
- B
- C
Q21:
Evaluate .
- A
- B
- C
- D
- E
Q22:
Evaluate .
- A1
- B
- C
- D
- E
Q23:
Evaluate .
- A
- B
- C
- D
- E 19β683
Q24:
Evaluate .
- A
- B
- C
- D
- E27
Q25:
What is ?
- A0
- B48
- C49
- D57