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Question

ScanSolve AI Tutor · Accepted Answer

To add complex numbers, we add their real parts together and their imaginary parts together.

Identify the real and imaginary parts of each complex number.
For the first complex number, $2 + 5i$ :
The real part is 2.
The imaginary part is $5i$ .

For the second complex number, $3 - 2i$ :
The real part is 3.
The imaginary part is $-2i$ .
Add the real parts.
$2 + 3 = 5$
Add the imaginary parts.
$5i + (-2i) = 5i - 2i = 3i$
Combine the sums of the real and imaginary parts to get the final complex number.
$(2 + 5i) + (3 - 2i) = 5 + 3i$
The final answer is $\mathbf{5 + 3i}$ .

Answer