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If z = 1 + √3i, what is the square of the modulus of z?

Practice Questions

1 question
Q1
If z = 1 + √3i, what is the square of the modulus of z?
  1. 4
  2. 3
  3. 2
  4. 1

Questions & Step-by-step Solutions

1 item
Q
Q: If z = 1 + √3i, what is the square of the modulus of z?
Solution: The modulus of z = 1 + √3i is |z| = √(1² + (√3)²) = √(1 + 3) = √4 = 2. The square of the modulus is 2² = 4.
Steps: 0

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