To find the sum on (2 + 4i) and (7 + 11i) we need to add like terms
The phrase, “like terms” refers to numbers with the same variables
To combine 2 + 4i and 7 + 11i
We need to add the constants, (2 and 7), and the variables (4i and 11i) together and then add a plus sign between the two sums to get our answer
2 + 7 = 9
4i + 11i = 15i
At this point, it is not possible to combine 9 and 15i any further, because they are not like terms, instead we just add a plus sign between the two
15i + 9
SHORT EXPLAINATION:
To solve, add the numbers without the “i” together, then add the numbers with the “i” together, take the two sums and put a plus sign between them
2 + 7 = 9
4 + 11 = 15
Answer: 15i + 9
I hope this helps! <3