To find the sum or difference of the complex numbers 3, 3i, 6, and i, we first need to identify their real and imaginary parts.
The numbers can be broken down as follows:
- 3 is a real number (3 + 0i)
- 3i is an imaginary number (0 + 3i)
- 6 is also a real number (6 + 0i)
- i is an imaginary number (0 + 1i)
Now, let’s sum the real parts and the imaginary parts separately:
- Real parts: 3 + 6 = 9
- Imaginary parts: 3i + i = 3i + 1i = 4i
Combining these results, we get:
9 + 4i
So, the sum of the complex numbers 3, 3i, 6, and i in standard form a + bi is 9 + 4i.