(5+3i)+(2-8i)

less than a minute read Jun 16, 2024
(5+3i)+(2-8i)

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.

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