(1 + 3i) + (2 − 5i)

Jasonbradley

2 min read

·

Jun 16, 2024

19

Share

Adding Complex Numbers: (1 + 3i) + (2 − 5i)

This article will guide you through the process of adding two complex numbers: (1 + 3i) and (2 − 5i).

Understanding Complex Numbers

Complex numbers are numbers that consist of two parts: a real part and an imaginary part. They are written in the form a + bi, where:

• a is the real part
• b is the imaginary part
• i is the imaginary unit, where i² = -1

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 number.

• (1 + 3i) has a real part of 1 and an imaginary part of 3.
• (2 − 5i) has a real part of 2 and an imaginary part of -5.

Step 2: Add the real parts.

1 + 2 = 3

Step 3: Add the imaginary parts.

3 + (-5) = -2

Step 4: Combine the results to form the sum.

The sum of (1 + 3i) and (2 − 5i) is 3 - 2i.

Conclusion

Adding complex numbers is a straightforward process. Simply add the real parts and the imaginary parts separately, and then combine them to get the final result.