Adding Complex Numbers: (5 + 3i) + (2 - 8i)
Complex numbers are numbers that involve the imaginary unit i, where i² = -1. To add complex numbers, we simply add the real and imaginary parts separately.
1. Identify the Real and Imaginary Parts:
- (5 + 3i):
- Real part: 5
- Imaginary part: 3i
- (2 - 8i):
- Real part: 2
- Imaginary part: -8i
2. Add the Real Parts:
5 + 2 = 7
3. Add the Imaginary Parts:
3i - 8i = -5i
4. Combine the Results:
The sum of (5 + 3i) + (2 - 8i) is 7 - 5i.
Therefore, (5 + 3i) + (2 - 8i) = 7 - 5i.