Question

What is the sum of (2+4i) and (7+11i)

Answer 1

Add like terms
2+4i +7 +11 i =
2+7 + 4i+11i =
9+15i

Answer 2

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