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

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

Options:

Correct Answer: 6 + i

Solution:

The sum of two complex numbers z1 + z2 = (2 + 3i) + (4 - 2i) = (2 + 4) + (3 - 2)i = 6 + i.

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

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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