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What is the value of (2 + 3i) + (4 - 2i)?

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Question: What is the value of (2 + 3i) + (4 - 2i)?

Options:

  1. 6 + i
  2. 6 + i
  3. 2 + 5i
  4. 8 + i

Correct Answer: 6 + i

Solution: 

To add the complex numbers, we combine the real parts and the imaginary parts: (2 + 4) + (3 - 2)i = 6 + 1i = 6 + i.

What is the value of (2 + 3i) + (4 - 2i)?

Practice Questions

Q1
What is the value of (2 + 3i) + (4 - 2i)?
  1. 6 + i
  2. 6 + i
  3. 2 + 5i
  4. 8 + i

Questions & Step-by-Step Solutions

What is the value of (2 + 3i) + (4 - 2i)?
  • Step 1: Identify the real parts of the complex numbers. The real part of (2 + 3i) is 2, and the real part of (4 - 2i) 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 3i, and the imaginary part of (4 - 2i) is -2i.
  • Step 4: Add the imaginary parts together. So, 3i + (-2i) = 3i - 2i = 1i.
  • Step 5: Combine the results from Step 2 and Step 4. This gives us 6 + 1i.
  • Step 6: Write the final answer in standard form. The final answer is 6 + i.
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