## Adding Complex Numbers: (8 + 8i) + (12 + 2i)

This article explains how to add complex numbers using the example of (8 + 8i) + (12 + 2i).

### Understanding Complex Numbers

A complex number is a number that can be expressed in the form **a + bi**, where:

**a**and**b**are real numbers.**i**is the imaginary unit, defined as the square root of -1 (i² = -1).

**a** is called the **real part** and **b** is called the **imaginary part** of the complex number.

### Adding Complex Numbers

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

**Step 1:** Identify the real and imaginary parts of each complex number.

- (8 + 8i): Real part = 8, Imaginary part = 8
- (12 + 2i): Real part = 12, Imaginary part = 2

**Step 2:** Add the real parts together and the imaginary parts together.

- Real part: 8 + 12 = 20
- Imaginary part: 8 + 2 = 10

**Step 3:** Combine the results to get the final complex number.

- (8 + 8i) + (12 + 2i) =
**20 + 10i**

### Conclusion

Therefore, the sum of (8 + 8i) and (12 + 2i) is **20 + 10i**.