What is an imaginary number?
Imaginary Numbers

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.
2.
FLASHCARD QUESTION
Front
What is the value of i^2?
Back
i^2 = -1.
3.
FLASHCARD QUESTION
Front
What is the value of i^3?
Back
i^3 = i^2 * i = -1 * i = -i.
4.
FLASHCARD QUESTION
Front
What is the value of i^4?
Back
i^4 = (i^2)^2 = (-1)^2 = 1.
5.
FLASHCARD QUESTION
Front
How do you simplify √-1?
Back
√-1 = i.
6.
FLASHCARD QUESTION
Front
How do you simplify √-x where x > 0?
Back
√-x = i√x.
7.
FLASHCARD QUESTION
Front
What is the pattern of powers of i?
Back
The powers of i cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.
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