What is a radical?
Simplifying Radicals with variables

Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A radical is an expression that includes a root, such as a square root (√) or cube root (∛).
2.
FLASHCARD QUESTION
Front
How do you simplify √(a^2)?
Back
√(a^2) = a, where a is a non-negative number.
3.
FLASHCARD QUESTION
Front
What is the product property of square roots?
Back
The product property states that √(a * b) = √a * √b.
4.
FLASHCARD QUESTION
Front
How do you simplify √(x^2y)?
Back
√(x^2y) = x√y, where x is non-negative.
5.
FLASHCARD QUESTION
Front
What is the quotient property of square roots?
Back
The quotient property states that √(a/b) = √a / √b, where b ≠ 0.
6.
FLASHCARD QUESTION
Front
How do you simplify √(x^4)?
Back
√(x^4) = x^2, where x is non-negative.
7.
FLASHCARD QUESTION
Front
What is the first step in simplifying a radical expression?
Back
The first step is to factor the expression under the radical into perfect squares.
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