Question

enter the correct answer in the box. add the two complex numbers 6 + 7i and 10 + 2i. write your answer as a complex number in standard form, a + bi.

Explanation:

Step1: Add the real parts

The real parts of the complex numbers \(6 + 7i\) and \(10 + 2i\) are \(6\) and \(10\) respectively. Adding them: \(6 + 10 = 16\)

Step2: Add the imaginary parts

The imaginary parts are \(7i\) and \(2i\) respectively. Adding them: \(7i + 2i = 9i\)

Step3: Combine the results

Combining the sum of the real parts and the sum of the imaginary parts, we get \(16 + 9i\)

Answer:

\(16 + 9i\)