Simplifying Radicals with Variables - Medium
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical in mathematics?
Back
A radical is a symbol that represents the root of a number, most commonly the square root. It is denoted by the radical sign (√).
Tags
CCSS.8.NS.A.1
2.
FLASHCARD QUESTION
Front
How do you simplify a square root of a product?
Back
To simplify a square root of a product, you can separate the square root into the product of the square roots of each factor: √(a*b) = √a * √b.
3.
FLASHCARD QUESTION
Front
What is the square root of a variable raised to an even power?
Back
The square root of a variable raised to an even power is the variable raised to half that power: √(x^2n) = x^n.
4.
FLASHCARD QUESTION
Front
What is the square root of a variable raised to an odd power?
Back
The square root of a variable raised to an odd power can be simplified by separating the variable into an even and an odd part: √(x^(2n+1)) = x^n * √x.
5.
FLASHCARD QUESTION
Front
How do you simplify √(a^2)?
Back
√(a^2) simplifies to |a|, which is the absolute value of a.
6.
FLASHCARD QUESTION
Front
What is the process for simplifying √(ab)?
Back
To simplify √(ab), you can express it as √a * √b, provided both a and b are non-negative.
7.
FLASHCARD QUESTION
Front
What is the simplified form of √(x^4)?
Back
The simplified form of √(x^4) is x^2.
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