(5+2i)+(3-2i) In Standard Form

2 min read Jun 16, 2024
(5+2i)+(3-2i) In Standard Form

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.

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