## Adding Complex Numbers: (5 + 2i) + (3 - 2i)

This article will demonstrate how to add two complex numbers in standard form. We will work with the example: **(5 + 2i) + (3 - 2i)**.

### 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 (i.e., i² = -1).

### Adding Complex Numbers

To add complex numbers, we simply add the real parts and the imaginary parts separately.

**1. Identify the real and imaginary parts:**

- In (5 + 2i), 5 is the real part and 2 is the imaginary part.
- In (3 - 2i), 3 is the real part and -2 is the imaginary part.

**2. Add the real parts:**

- 5 + 3 = 8

**3. Add the imaginary parts:**

- 2 + (-2) = 0

**4. Combine the results:**

- The sum of the real parts is 8.
- The sum of the imaginary parts is 0.

**Therefore, the sum of (5 + 2i) + (3 - 2i) in standard form is 8 + 0i, which simplifies to just 8.**