Math Problem Statement

Which is the real number component of the complex number 6 − 2i?

Solution

The given complex number in the question is 62i6 - 2i.

A complex number is generally expressed in the form a+bia + bi, where:

  • aa is the real part,
  • bb is the imaginary part, and
  • ii represents the imaginary unit (i=1i = \sqrt{-1}).

In 62i6 - 2i, the real component is 66 and the imaginary component is 2i-2i.

Thus, the correct answer to the question is: 6.

Would you like further details or have any questions?

Here are 5 related questions to expand on this concept:

  1. What is the imaginary component of 62i6 - 2i?
  2. How do you add two complex numbers together?
  3. What is the magnitude of the complex number 62i6 - 2i?
  4. How would you multiply two complex numbers?
  5. Can complex numbers be represented graphically?

Tip: When dealing with complex numbers, always separate the real and imaginary parts clearly to avoid confusion.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers

Formulas

General form of a complex number: a + bi

Theorems

Definition of complex numbers

Suitable Grade Level

Grades 9-10