Question

question 5 of 10
add the following complex numbers:
(6 - 2i) + (11 + 6i)

a. -5 + 8i
b. -5 + 4i
c. 17 + 4i
d. 17 + 8i

Explanation:

Step1: Add real parts

To add complex numbers, we first add the real parts. The real parts are \(6\) and \(11\). So, \(6 + 11 = 17\).

Step2: Add imaginary parts

Next, we add the imaginary parts. The imaginary parts are \(-2i\) and \(6i\). So, \(-2i+6i = 4i\).

Step3: Combine results

Now, we combine the sum of the real parts and the sum of the imaginary parts. So, \((6 - 2i)+(11 + 6i)=17 + 4i\).

Answer:

C. \(17 + 4i\)