Question

Add the following complex number (10-8i)+(i+3)

Answer 1

To add the complex numbers (10-8i) and (i+3), simply add the real numbers together and the imaginary numbers together to get 13 - 7i.

Step-by-step explanation:

To add the complex numbers (10-8i) and (i+3), you combine the real parts and the imaginary parts separately. The real parts are 10 and 3, and the imaginary parts are -8i and i. Adding these gives us:

(10−8i)+(i+3) can be simplified by combining the real parts and the imaginary parts separately:

Real part: 10 + 3 = 13

Imaginary part: -8i + i = -7i

Therefore, the sum of the two complex numbers is 13 - 7i.