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If z = 1 + i√3, what is the value of z^2? (2023)

Practice Questions

1 question
Q1
If z = 1 + i√3, what is the value of z^2? (2023)
  1. -2 + 2i√3
  2. 4
  3. 1 - 2i√3
  4. 1 + 2i√3

Questions & Step-by-step Solutions

1 item
Q
Q: If z = 1 + i√3, what is the value of z^2? (2023)
Solution: z^2 = (1 + i√3)^2 = 1^2 + 2(1)(i√3) + (i√3)^2 = 1 + 2i√3 - 3 = -2 + 2i√3.
Steps: 0

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