Simplifying Radical Expressions

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•
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, @@ ext{radical expression} = ext{ } oot{n}{x}@@.
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 cubes from under the radical sign.
3.
FLASHCARD QUESTION
Front
What is a perfect square?
Back
A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.
4.
FLASHCARD QUESTION
Front
How do you simplify @@ ext{ } oot{2}{8}@@?
Back
@@ ext{ } oot{2}{8} = oot{2}{4 imes 2} = oot{2}{4} imes oot{2}{2} = 2 oot{2}@@.
5.
FLASHCARD QUESTION
Front
What is the value of @@ ext{ } oot{3}{27}@@?
Back
@@ ext{ } oot{3}{27} = 3@@.
6.
FLASHCARD QUESTION
Front
What is the product property of square roots?
Back
The product property states that @@ ext{ } oot{n}{a} imes oot{n}{b} = oot{n}{a imes b}@@.
7.
FLASHCARD QUESTION
Front
What is the sum of @@ ext{ } oot{4}{16} + 2@@?
Back
@@ ext{ } oot{4}{16} + 2 = 4 + 2 = 6@@.
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