Simplifying Radicals with Variables

Flashcard
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Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
Define 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}@@.
Tags
CCSS.8.NS.A.1
2.
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 can be simplified by taking half of the exponent. For example, @@ ext{If } x^{2n}, ext{ then } ext{ } oot{2}{x^{2n}} = x^n@@.
3.
FLASHCARD QUESTION
Front
Simplify: @@ ext{ } oot{2}{z^4}@@
Back
4.
FLASHCARD QUESTION
Front
What is the square root of a product?
Back
The square root of a product can be expressed as the product of the square roots. For example, @@ ext{ } oot{2}{ab} = oot{2}{a} imes oot{2}{b}@@.
Tags
CCSS.HSN.RN.A.2
5.
FLASHCARD QUESTION
Front
Simplify: @@ ext{ } oot{2}{196c^5d^2}@@
Back
@@14c^2d oot{2}{c}@@.
6.
FLASHCARD QUESTION
Front
What is the cube root of a number?
Back
The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, @@ ext{ } oot{3}{x} ext{ is the cube root of } x@@.
7.
FLASHCARD QUESTION
Front
Simplify: @@ ext{ } oot{3}{32}@@
Back
@@2 oot{3}{4}@@.
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