Math Problem Statement

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

Solution

The expression given is:

(52i)+(3+3i)(5 - 2i) + (3 + 3i)

To solve this, we'll add the real and imaginary parts separately:

  1. Add the real parts: 5+3=85 + 3 = 8
  2. Add the imaginary parts: 2i+3i=i-2i + 3i = i

Thus, the result in standard form (which is a+bia + bi where aa is the real part and bb is the imaginary part) is:

8+i8 + i

Would you like more details on this? Let me know if you have any questions!

Here are five related questions:

  1. What is the standard form of a complex number?
  2. How do you subtract two complex numbers?
  3. What happens when you multiply two complex numbers?
  4. What is the magnitude of the complex number 8+i8 + i?
  5. How do you divide one complex number by another?

Tip: When adding complex numbers, always separate the real and imaginary components to simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Addition of Complex Numbers

Formulas

(a + bi) + (c + di) = (a + c) + (b + d)i

Theorems

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Suitable Grade Level

Grades 8-10