Answer:
The sum of the complex numbers is [tex]9+i\,7[/tex].
Explanation:
Let be [tex]u = 6 + i\,2[/tex] and [tex]v = 3 + i\,5[/tex], the sum of the complex number can be found by algebraic means. That is:
1) [tex]u = 6 + i\,2[/tex], [tex]v = 3 + i\,5[/tex] Given.
2) [tex]u+v = (6+i\,2)+(3+i\,5)[/tex] Definition of addition.
3) [tex]u+v = (6+3) + (2\,i + 5\,i)[/tex] Commutative and associative properties.
4) [tex]u+v = 9 + (2+5)\,i[/tex] Definition of addition/Distributive property.
5) [tex]u + v = 9 + i\,7[/tex] Definition of addition/Commutative property/Result.
The sum of the complex numbers is [tex]9+i\,7[/tex].
