Question

Add the two complex numbers 6 + 7i and 10 + 2i. Write your answer as a complex number in standard form, a + bi.

Answer 1

16 + 9i

Explanation:

Every complex number has a real and an imaginary part.

We are given two complex numbers:
`6+7i` and
`10+2i`.

The complex number
`6+7i` has 6 as the real part and 7 as the imaginary one. While in
`10+2i`, 10 is the real part and 2 is the imaginary part.

We add real parts and imaginary parts separately in complex numbers:

`(6+7i)+(10+2i)`

`= (6+10) + i(7+2)`

`=16+9i`

Answer 2

1. The complex number 6 + 7i has

• real part 6;
• imaginary part 7.

2. The complex number 10 + 2i has

• real part 10;
• imaginary part 2.

3. When we add two complex numbers, we add real parts and imaginary parts separately:

(6+7i)+(10+2i)=(6+10)+(7+2)i=16+9i.

Answer: 16+9i