Question

what is the sum of the complex numbers 2 + 3i and 4 + 8i, where i = \sqrt{-1}? a 17 b 17i c 6 + 11i d 8 + 24i

Explanation:

Step1: Add real parts

The real parts of \(2 + 3i\) and \(4 + 8i\) are \(2\) and \(4\) respectively. Adding them: \(2 + 4 = 6\).

Step2: Add imaginary parts

The imaginary parts are \(3i\) and \(8i\). Adding them: \(3i + 8i = 11i\).

Step3: Combine results

Combine the sum of real parts and the sum of imaginary parts: \(6 + 11i\).

Answer:

C. \(6 + 11i\)