To find the sum of the complex numbers 3 + 7i and 8 + 4i, we will add the real parts together and the imaginary parts together.
The real parts are:
- 3
- 8
Adding these together gives us:
3 + 8 = 11
Next, we’ll add the imaginary parts:
- 7i
- 4i
Adding these gives us:
7i + 4i = 11i
Now, we can combine both results to find the sum:
11 + 11i
So, the sum of 3 + 7i and 8 + 4i is 11 + 11i.