https://file.aiquickdraw.com/mathbot/file/1729193094082d4d3icia.jpg

Let's break down the addition of the two complex numbers shown in the image:

\[
(5 - 2i) + (3 + 3i)
\]

To add these, we combine the real parts and the imaginary parts separately:

1. Real part: \( 5 + 3 = 8 \)
2. Imaginary part: \( -2i + 3i = i \)

So the result of the addition is:

\[
8 + i
\]

This is already in standard form, which is \( a + bi \), where \( a \) is the real part and \( b \) is the coefficient of the imaginary part \( i \).

Would you like any further details or clarifications?

Here are 5 related questions:
1. How do you subtract two complex numbers?
2. What happens when you multiply two complex numbers?
3. How do you find the magnitude of a complex number?
4. How is the complex conjugate of a number calculated?
5. How would you divide two complex numbers?

**Tip:** Always remember that in complex numbers, real and imaginary parts are treated separately during basic operations like addition and subtraction.

Add (5 - 2i) + (3 + 3i) and write the result in standard form.

Learn how to add complex numbers with the example (5 - 2i) + (3 + 3i). This problem covers essential concepts in complex number operations and provides a clear, step-by-step solution. Suitable for high school students in Grades 9-12.

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