Answer:
16 + 9i
Step-by-step explanation:
Every complex number has a real and an imaginary part.
We are given two complex numbers: [tex]6+7i[/tex] and [tex]10+2i[/tex].
The complex number [tex]6+7i[/tex] has 6 as the real part and 7 as the imaginary one. While in [tex]10+2i[/tex], 10 is the real part and 2 is the imaginary part.
We add real parts and imaginary parts separately in complex numbers:
[tex](6+7i)+(10+2i)[/tex]
[tex]= (6+10) + i(7+2)[/tex]
[tex]=16+9i[/tex]
