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What is the sum of the complex numbers 2 + 3i and 4 - 5i?

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Question: What is the sum of the complex numbers 2 + 3i and 4 - 5i?

Options:

  1. 6 - 2i
  2. 6 + 2i
  3. 2 - 2i
  4. 2 + 2i

Correct Answer: 6 - 2i

Solution: 

The sum is (2 + 4) + (3 - 5)i = 6 - 2i.

What is the sum of the complex numbers 2 + 3i and 4 - 5i?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the sum of the complex numbers 2 + 3i and 4 - 5i?
  • Step 1: Identify the real parts of the complex numbers. The real part of 2 + 3i is 2, and the real part of 4 - 5i is 4.
  • Step 2: Add the real parts together. So, 2 + 4 = 6.
  • Step 3: Identify the imaginary parts of the complex numbers. The imaginary part of 2 + 3i is 3, and the imaginary part of 4 - 5i is -5.
  • Step 4: Add the imaginary parts together. So, 3 + (-5) = 3 - 5 = -2.
  • Step 5: Combine the results from Step 2 and Step 4. The sum is 6 - 2i.
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