Question

directions: add
start.
(5 + 2i) + (3 - 7i)

Explanation:

Step1: Group real and imaginary parts

To add complex numbers, we group the real parts and the imaginary parts separately. For \((5 + 2i)+(3 - 7i)\), the real parts are \(5\) and \(3\), and the imaginary parts are \(2i\) and \(-7i\). So we can rewrite the expression as \((5 + 3)+(2i- 7i)\).

Step2: Add real and imaginary parts

First, add the real parts: \(5 + 3=8\). Then, add the imaginary parts: \(2i-7i=(2 - 7)i=- 5i\). Combining these results, we get \(8-5i\).

Answer:

\(8 - 5i\)