(3+2i)+(5-3i)

Jasonbradley

less than a minute read

·

Jun 16, 2024

13

Share

Adding Complex Numbers: (3 + 2i) + (5 - 3i)

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.

To add complex numbers, we simply add the real parts and the imaginary parts separately.

Let's break down the addition of (3 + 2i) + (5 - 3i):

1. Identify the real and imaginary parts:

   • Real parts: 3 and 5
   • Imaginary parts: 2i and -3i

2. Add the real parts: 3 + 5 = 8

3. Add the imaginary parts: 2i - 3i = -i

4. Combine the results: 8 - i

Therefore, the sum of (3 + 2i) and (5 - 3i) is 8 - i.