What is a complex number?
Dividing Complex Numbers

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.
2.
FLASHCARD QUESTION
Front
What is the conjugate of a complex number?
Back
The conjugate of a complex number a + bi is a - bi. It is obtained by changing the sign of the imaginary part.
3.
FLASHCARD QUESTION
Front
How do you multiply complex numbers?
Back
To multiply complex numbers, use the distributive property (FOIL method) and apply the fact that i^2 = -1.
4.
FLASHCARD QUESTION
Front
What is the formula for dividing complex numbers?
Back
To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.
5.
FLASHCARD QUESTION
Front
What is the denominator when dividing complex numbers?
Back
The denominator when dividing complex numbers is the product of the complex number and its conjugate, which results in a real number.
6.
FLASHCARD QUESTION
Front
What is the result of multiplying (3 + 4i) and (3 - 4i)?
Back
The result is 3^2 - (4i)^2 = 9 + 16 = 25.
7.
FLASHCARD QUESTION
Front
What is the value of i^2?
Back
i^2 = -1.
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