The Cartesian and Polar representaions of the Complex number

What is the square root of -1?

• h

• i

• j

• k

Which of the following is a complex number?

• 3

• 4 + 5i

• -2

• 0

What is the result of adding 2 + 3i and 4 + 2i?

• 2 + 2i

• 6 + 5i

• 6 + 3i

• 2 + 5i

What is the result of the following equation?
(1-i)^2

• -2

• 2-2i

• -2i

• 1-3i

What is the result of the following equation?
(2 + 3i)*(1 - i)

• 5 + i

• 1 + 5i

• 5 - i

• 8 + i

What is the absulute value of the following complex number?
3-4i

• 5

• 7

• 4

• 1

What is the solutions of the following equation?
z^3 = 1

• 1
  cis(60)
  cis(120)

• 1

• 1
  cis(120)
  cis(240)

• cis(0)
  cis(120)
  cis(240)

What is the solutions of the following equation?
z^2 + 2iz + 4 = 5

• 1+sqrt(2)
  1-sqrt(2)

• sqrt(2)+i
  sqrt(2)-i

• -sqrt(2)+i
  -sqrt(2)-i

• (1+sqrt(2))i
  (1-sqrt(2))i

How many solutions does an equation with the power 12 has?

• 12 exactly

• at least 12

• at most 12

• can't detemine