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(5+7i)+(-2+6i)

2 min read Jun 16, 2024
(5+7i)+(-2+6i)

Adding Complex Numbers: (5 + 7i) + (-2 + 6i)

This article will explain how to add the complex numbers (5 + 7i) and (-2 + 6i).

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

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.

  • (5 + 7i) has a real part of 5 and an imaginary part of 7.
  • (-2 + 6i) has a real part of -2 and an imaginary part of 6.

Step 2: Add the real parts together.

  • 5 + (-2) = 3

Step 3: Add the imaginary parts together.

  • 7 + 6 = 13

Step 4: Combine the results.

  • The sum of the real parts is 3.
  • The sum of the imaginary parts is 13.

Therefore, (5 + 7i) + (-2 + 6i) = 3 + 13i

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