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What is the sum of the complex numbers 1 + 2i and 3 - 4i? (2023)

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Question: What is the sum of the complex numbers 1 + 2i and 3 - 4i? (2023)

Options:

  1. 4 - 2i
  2. 4 + 2i
  3. 2 - 2i
  4. 2 + 2i

Correct Answer: 4 - 2i

Exam Year: 2023

Solution: 

(1 + 2i) + (3 - 4i) = (1 + 3) + (2 - 4)i = 4 - 2i.

What is the sum of the complex numbers 1 + 2i and 3 - 4i? (2023)

Practice Questions

Q1
What is the sum of the complex numbers 1 + 2i and 3 - 4i? (2023)
  1. 4 - 2i
  2. 4 + 2i
  3. 2 - 2i
  4. 2 + 2i

Questions & Step-by-Step Solutions

What is the sum of the complex numbers 1 + 2i and 3 - 4i? (2023)
  • Step 1: Identify the two complex numbers you want to add: 1 + 2i and 3 - 4i.
  • Step 2: Write the addition of the two complex numbers: (1 + 2i) + (3 - 4i).
  • Step 3: Group the real parts together and the imaginary parts together: (1 + 3) + (2i - 4i).
  • Step 4: Add the real parts: 1 + 3 = 4.
  • Step 5: Add the imaginary parts: 2i - 4i = -2i.
  • Step 6: Combine the results from Step 4 and Step 5: 4 - 2i.
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