Simplify negative radicals
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a negative radical?
Back
A negative radical is the square root of a negative number, which can be expressed in terms of imaginary numbers using 'i', where i = √-1.
2.
FLASHCARD QUESTION
Front
How do you simplify √-1?
Back
√-1 simplifies to i.
3.
FLASHCARD QUESTION
Front
What is the process for simplifying √-a where a is a positive real number?
Back
To simplify √-a, factor out -1: √-a = √(-1) * √a = i√a.
4.
FLASHCARD QUESTION
Front
What is the simplified form of √-28?
Back
√-28 simplifies to 2i√7.
5.
FLASHCARD QUESTION
Front
How do you simplify √-9?
Back
√-9 simplifies to 3i.
6.
FLASHCARD QUESTION
Front
What is the value of i^2?
Back
i^2 = -1.
7.
FLASHCARD QUESTION
Front
How do you simplify i raised to a power, such as i^25?
Back
To simplify i^25, divide the exponent by 4 and use the remainder: i^25 = i^(4*6 + 1) = i.
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