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(8+8i)+(12+2i)

2 min read Jun 16, 2024
(8+8i)+(12+2i)

Adding Complex Numbers: (8 + 8i) + (12 + 2i)

This article explains how to add complex numbers using the example of (8 + 8i) + (12 + 2i).

Understanding Complex Numbers

A complex number is a number 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).

a is called the real part and b is called the imaginary part of the complex number.

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 complex number.

  • (8 + 8i): Real part = 8, Imaginary part = 8
  • (12 + 2i): Real part = 12, Imaginary part = 2

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

  • Real part: 8 + 12 = 20
  • Imaginary part: 8 + 2 = 10

Step 3: Combine the results to get the final complex number.

  • (8 + 8i) + (12 + 2i) = 20 + 10i

Conclusion

Therefore, the sum of (8 + 8i) and (12 + 2i) is 20 + 10i.

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