What is a complex number?
Flashcard - Radicals and Complex Numbers

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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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 imaginary unit 'i'?
Back
The imaginary unit 'i' is defined as the square root of -1. It is used to extend the real number system to include solutions to equations that do not have real solutions.
3.
FLASHCARD QUESTION
Front
How do you multiply two complex numbers?
Back
To multiply two complex numbers (a + bi) and (c + di), use the distributive property: (a + bi)(c + di) = ac + adi + bci + bdi^2. Remember that i^2 = -1.
4.
FLASHCARD QUESTION
Front
What is the result of (2 + 9i)(9 + 2i)?
Back
The result is 85i.
5.
FLASHCARD QUESTION
Front
What is the result of (5 - 6i)(6 + 6i)?
Back
The result is 66 - 6i.
6.
FLASHCARD QUESTION
Front
What is the result of (3 + 8i)(8 - 4i)?
Back
The result is 56 + 52i.
7.
FLASHCARD QUESTION
Front
How do you add two complex numbers?
Back
To add two complex numbers (a + bi) and (c + di), simply add the real parts and the imaginary parts: (a + bi) + (c + di) = (a + c) + (b + d)i.
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