How can I simplify the expression 5 + 3i + 2i?

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To simplify the expression 5 + 3i + 2i, follow these steps:

  1. Identify the real and imaginary parts: In this expression, 5 is the real part, and 3i and 2i are the imaginary parts.

  2. Add the imaginary parts together: Combine 3i and 2i to get 5i.

  3. Combine the real part with the summed imaginary part: Now, you have 5 (the real part) and 5i (the imaginary part).

The final simplified expression is:

5 + 5i

This represents a complex number where 5 is the real component, and 5i is the imaginary component. This simplification allows for easier manipulation of the expression in further mathematical contexts.

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