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Worksheet: Powers and Roots of Complex Numbers

Q1:

If , what is ?

  • A
  • B
  • C
  • D

Q2:

Use De Moivre’s theorem to find the two square roots of .

  • A
  • B
  • C
  • D
  • E

Q3:

Use De Moivre’s theorem to find the two square roots of .

  • A
  • B
  • C
  • D
  • E

Q4:

Use De Moivre’s theorem to find the two square roots of .

  • A
  • B
  • C
  • D
  • E

Q5:

What is ?

  • A
  • B
  • C
  • D
  • E

Q6:

What is ?

  • A
  • B
  • C
  • D
  • E

Q7:

What is ?

  • A
  • B
  • C
  • D2
  • E

Q8:

What is ?

  • A
  • B
  • C16
  • D2
  • E

Q9:

Find the roots of the equation in trigonometric form.

  • A, , ,
  • B, , ,
  • C, , ,
  • D, , ,

Q10:

Find the roots of the equation in trigonometric form.

  • A, ,
  • B, ,
  • C, ,
  • D, ,

Q11:

Find the roots of the equation in trigonometric form.

  • A, , ,,
  • B, , ,,
  • C, , ,,
  • D, , ,,

Q12:

Find the roots of the equation in trigonometric form.

  • A, , ,,,
  • B, , ,,