## Adding Complex Numbers: (9 + 5i) + (11 + 2i)

This article will guide you through adding two complex numbers: (9 + 5i) + (11 + 2i).

### Understanding Complex Numbers

Complex numbers are numbers 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).

### Adding Complex Numbers

Adding complex numbers is straightforward. We simply add the real parts and the imaginary parts separately.

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

- (9 + 5i): Real part is
**9**, imaginary part is**5i**. - (11 + 2i): Real part is
**11**, imaginary part is**2i**.

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

**Real part:**9 + 11 =**20****Imaginary part:**5i + 2i =**7i**

**Step 3:** Combine the real and imaginary parts to get the final result.

(9 + 5i) + (11 + 2i) = **20 + 7i**

### Conclusion

Therefore, the sum of the complex numbers (9 + 5i) and (11 + 2i) is **20 + 7i**.