Simplifying Radical Expressions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical expression?
Back
A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, √x or ∛(x+1).
2.
FLASHCARD QUESTION
Front
What does it mean to simplify a radical expression?
Back
To simplify a radical expression means to rewrite it in a simpler form, often by removing any perfect squares (or higher powers) from under the radical sign.
3.
FLASHCARD QUESTION
Front
What is the square root of 16?
Back
The square root of 16 is 4, since 4 x 4 = 16.
4.
FLASHCARD QUESTION
Front
How do you simplify √(a^2)?
Back
√(a^2) simplifies to |a|, which is the absolute value of a.
5.
FLASHCARD QUESTION
Front
What is the product property of square roots?
Back
The product property states that √(a * b) = √a * √b for any non-negative numbers a and b.
6.
FLASHCARD QUESTION
Front
How do you simplify √(50)?
Back
√(50) can be simplified to 5√2, since 50 = 25 * 2 and √25 = 5.
7.
FLASHCARD QUESTION
Front
What is the quotient property of square roots?
Back
The quotient property states that √(a/b) = √a / √b for any non-negative numbers a and b.
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