imaginary numbers
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an imaginary number?
Back
An imaginary number is a complex 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
How do you multiply two imaginary numbers?
Back
To multiply two imaginary numbers, multiply their coefficients and apply the property i^2 = -1. For example, (-3i)(4i) = -12i^2 = 12.
4.
FLASHCARD QUESTION
Front
What is the result of (3i)(2i)?
Back
(3i)(2i) = 6i^2 = -6.
5.
FLASHCARD QUESTION
Front
What is the sum of i and 6i?
Back
i + 6i = 7i.
6.
FLASHCARD QUESTION
Front
How do you simplify the expression (-3i)(i)(5i)?
Back
(-3i)(i)(5i) = -15i^3 = 15i.
7.
FLASHCARD QUESTION
Front
What is the result of the expression (3 - i) - (2 + 4i)?
Back
(3 - i) - (2 + 4i) = 1 - 5i.
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