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(9+5i)+(11+2i)

2 min read Jun 16, 2024
(9+5i)+(11+2i)

Adding Complex Numbers: (9 + 5i) + (11 + 2i)

This article will guide you through adding two complex numbers: (9 + 5i) + (11 + 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 (i² = -1).

Adding Complex Numbers

Adding complex numbers is straightforward. We simply add the real parts and the imaginary parts separately.

Step 1: Identify the real and imaginary parts of each complex number.

  • (9 + 5i): Real part is 9, imaginary part is 5i.
  • (11 + 2i): Real part is 11, imaginary part is 2i.

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

  • Real part: 9 + 11 = 20
  • Imaginary part: 5i + 2i = 7i

Step 3: Combine the real and imaginary parts to get the final result.

(9 + 5i) + (11 + 2i) = 20 + 7i

Conclusion

Therefore, the sum of the complex numbers (9 + 5i) and (11 + 2i) is 20 + 7i.

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