(4+2i)+(8-2i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (4 + 2i) + (8 - 2i)

This article will guide you through the process of adding two complex numbers: (4 + 2i) + (8 - 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 (i.e., i² = -1).

Adding Complex Numbers

Adding complex numbers is straightforward:

1. Combine the real parts: Add the real numbers together (4 + 8 = 12).
2. Combine the imaginary parts: Add the coefficients of the imaginary unit (2 - 2 = 0).

Solving the Example

Let's add (4 + 2i) and (8 - 2i) following the steps above:

1. Real parts: 4 + 8 = 12
2. Imaginary parts: 2 - 2 = 0

Therefore, the sum of (4 + 2i) + (8 - 2i) is 12 + 0i, which simplifies to 12.

Conclusion

Adding complex numbers involves combining the real and imaginary parts separately. In this example, the imaginary parts canceled out, resulting in a purely real number.