Adding complex numbers is easy once you understand it!

Complex numbers are often written like this: (a + bi), where (a) is the real part and (b) is the imaginary part.

Here’s a simple way to add them step-by-step:

Step 1: Identify the Complex Numbers

Let’s say we have two complex numbers:

• (z_1 = 3 + 4i)
• (z_2 = 2 + 5i)

Step 2: Add the Real Parts

First, look at the real parts from both numbers:

• Real part of (z_1): (3)
• Real part of (z_2): (2)

Now, add them together: [ 3 + 2 = 5 ]

Step 3: Add the Imaginary Parts

Now, let’s look at the imaginary parts:

• Imaginary part of (z_1): (4i)
• Imaginary part of (z_2): (5i)

Add those together: [ 4i + 5i = 9i ]

Step 4: Combine the Results

Finally, put together what you found in Step 2 and Step 3: [ z_1 + z_2 = 5 + 9i ]

So, when you add (3 + 4i) and (2 + 5i), you get (5 + 9i).

It’s that simple! Just remember to add the real parts and the imaginary parts separately!