Math Problem Statement
Which is the real number component of the complex number 6 − 2i?
Solution
The given complex number in the question is .
A complex number is generally expressed in the form , where:
- is the real part,
- is the imaginary part, and
- represents the imaginary unit ().
In , the real component is and the imaginary component is .
Thus, the correct answer to the question is: 6.
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Here are 5 related questions to expand on this concept:
- What is the imaginary component of ?
- How do you add two complex numbers together?
- What is the magnitude of the complex number ?
- How would you multiply two complex numbers?
- 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