Math Problem Statement
4-i / 3+2i
Solution
The expression you've provided is:
To simplify this expression, we can multiply both the numerator and denominator by the conjugate of the denominator. The conjugate of is .
So, let's do that:
Step 1: Multiply the numerator
Since , the expression simplifies to:
Step 2: Multiply the denominator
Final Answer:
This can be separated into real and imaginary parts:
So, the simplified form of is:
Would you like to see more details or have any other questions?
Here are 8 related questions:
- How do you find the conjugate of a complex number?
- What is the significance of multiplying by the conjugate in complex number division?
- Can you simplify using the same method?
- What happens if you multiply two complex conjugates together?
- How do you add and subtract complex numbers?
- How do you multiply two complex numbers without using their conjugates?
- What is the modulus of a complex number?
- How do you find the argument of a complex number?
Tip: When working with complex numbers, always remember that . This fundamental property simplifies many expressions involving imaginary numbers.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Complex Numbers
Conjugates
Division of Complex Numbers
Formulas
-
Theorems
-
Suitable Grade Level
Advanced High School