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What is the sum of the complex numbers z1 = 2 + 3i and z2 = 4 - 2i?

Practice Questions

Q1
What is the sum of the complex numbers z1 = 2 + 3i and z2 = 4 - 2i?
  1. 6 + i
  2. 6 + i
  3. 2 + 5i
  4. 8 + i

Questions & Step-by-Step Solutions

What is the sum of the complex numbers z1 = 2 + 3i and z2 = 4 - 2i?
  • Step 1: Identify the two complex numbers. Here, z1 = 2 + 3i and z2 = 4 - 2i.
  • Step 2: Write down the sum of the two complex numbers: z1 + z2 = (2 + 3i) + (4 - 2i).
  • Step 3: Combine the real parts of the complex numbers. The real parts are 2 and 4, so 2 + 4 = 6.
  • Step 4: Combine the imaginary parts of the complex numbers. The imaginary parts are 3i and -2i, so 3 - 2 = 1.
  • Step 5: Write the final result by combining the new real part and the new imaginary part. The result is 6 + 1i, which can be written as 6 + i.
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