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

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

Answer 2

Answer:

16 + 9i

Step-by-step 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:

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

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

$=16+9i$