In this lesson on dividing complex numbers, the instructor demonstrates how to multiply by the conjugate of the denominator in order to remove i from the bottom of the fraction. By using the difference of squares, the middle terms are retained, allowing for a simplified solution. Through the use of the foil method, the instructor shows how to quickly find the result of multiplication, and then simplifies the answer by dividing everything by 5. This method provides a clear approach to dividing complex numbers that even those with limited experience in math can easily understand.
How to divide complex numbers by multiplying by the conjugate of the denominator
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Questions answered by this video:
How do I simplify a fraction that has a complex number in both the numerator and denominator?
How is the complex conjugate used to simplify a fraction containing complex numbers?
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The instructor shows how to simplify a fraction containing complex numbers in both the numerator and denominator. He simplifies by multiplying by the complex conjugate.