Math Problem Statement

Given the complex number 3 + 2i, which represents the real part? a. 2i b. -2i c. 3 d. -3

Solution

The given complex number is 3+2i3 + 2i.

In any complex number of the form a+bia + bi, the real part is aa, and the imaginary part is bibi.

For 3+2i3 + 2i:

  • The real part is 33.
  • The imaginary part is 2i2i.

Thus, the correct answer is c. 3.

Would you like any further details or have any questions?

Here are five related questions you might find interesting:

  1. What is the imaginary part of the complex number 3+2i3 + 2i?
  2. How do you add or subtract two complex numbers?
  3. What happens when you multiply two complex numbers?
  4. Can a real number be considered a complex number? Why?
  5. How do you represent complex numbers on a plane?

Tip: The real part of a complex number is always the term without the ii (imaginary unit).

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Real and Imaginary Parts

Formulas

a + bi where a is the real part and bi is the imaginary part

Theorems

Definition of complex numbers

Suitable Grade Level

Grades 9-12