Math Problem Statement
Solution
The problem involves finding the magnitude of the complex number .
The magnitude of a complex number is given by:
For the given complex number :
- The real part
- The imaginary part
Substituting these values into the formula:
Therefore, the magnitude of is:
So, the correct option is C.
Do you want more details or have any questions?
Here are 5 more questions you might want to ask:
- How do you add and subtract complex numbers?
- How do you multiply and divide complex numbers?
- What is the geometric interpretation of complex numbers?
- How do you convert a complex number to polar form?
- What are the properties of complex conjugates?
Tip: When dealing with complex numbers, always remember that their magnitude represents the distance from the origin in the complex plane, which can be calculated using the Pythagorean theorem.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Magnitude of Complex Numbers
Pythagorean Theorem
Formulas
Magnitude of a complex number |z| = sqrt(a^2 + b^2)
Theorems
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Suitable Grade Level
High School