To add the two complex numbers [tex]\(6 + 7i\)[/tex] and [tex]\(10 + 2i\)[/tex], we need to combine their real and imaginary parts separately.
1. Add the real parts:
[tex]\[
6 + 10 = 16
\][/tex]
2. Add the imaginary parts:
[tex]\[
7i + 2i = 9i
\][/tex]
Putting these together, the sum of the complex numbers [tex]\(6 + 7i\)[/tex] and [tex]\(10 + 2i\)[/tex] is:
[tex]\[
16 + 9i
\][/tex]
Therefore, the answer in standard form [tex]\(a + bi\)[/tex] is [tex]\(16 + 9i\)[/tex].
