Adding Complex Numbers: (3 − 5i) + (−2 + 8i)
Complex numbers are numbers that have both a real and an imaginary part. They are typically written in the form a + bi, where 'a' represents the real part and 'b' represents the imaginary part. The imaginary unit, i, is defined as the square root of -1.
In this case, we are asked to add the two complex numbers (3 − 5i) and (−2 + 8i).
To add complex numbers, we simply add the real parts and the imaginary parts separately.
Here's how we do it:
- Real parts: 3 + (-2) = 1
- Imaginary parts: -5i + 8i = 3i
Therefore, the sum of the two complex numbers is 1 + 3i.
In summary: (3 − 5i) + (−2 + 8i) = 1 + 3i