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What is the sum of the complex numbers 2 + 3i and 4 - 5i?
What is the sum of the complex numbers 2 + 3i and 4 - 5i?
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Practice Questions
1 question
Q1
What is the sum of the complex numbers 2 + 3i and 4 - 5i?
6 - 2i
6 + 2i
2 - 2i
2 + 2i
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The sum is (2 + 4) + (3 - 5)i = 6 - 2i.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the sum of the complex numbers 2 + 3i and 4 - 5i?
Solution:
The sum is (2 + 4) + (3 - 5)i = 6 - 2i.
Steps: 5
Show Steps
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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