Adding Complex Numbers: (3-2i) + (5+i)
This article will explain how to add the complex numbers (3-2i) and (5+i).
Understanding Complex Numbers
Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.
Adding Complex Numbers
Adding complex numbers is straightforward:
- Add the real components: In our case, the real components are 3 and 5. 3 + 5 = 8
- Add the imaginary components: The imaginary components are -2i and i. -2i + i = -i
The Result
Therefore, the sum of (3-2i) and (5+i) is 8 - i.