Operations with Radicals
Flashcard
•
Mathematics
•
7th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical in mathematics?
Back
A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the inverse operation of exponentiation.
Tags
CCSS.8.NS.A.1
2.
FLASHCARD QUESTION
Front
How do you simplify a radical expression?
Back
To simplify a radical expression, factor the number under the radical into its prime factors, and then simplify by taking out pairs of factors for square roots.
3.
FLASHCARD QUESTION
Front
What is the product of two radicals?
Back
The product of two radicals can be simplified by multiplying the numbers under the radicals together, then simplifying the resulting radical if possible.
4.
FLASHCARD QUESTION
Front
What is the sum of two radicals?
Back
The sum of two radicals can only be simplified if the radicals have the same index and radicand (the number under the radical). Otherwise, they remain separate.
5.
FLASHCARD QUESTION
Front
What is the difference between rational and irrational numbers?
Back
Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions.
6.
FLASHCARD QUESTION
Front
How do you rationalize the denominator?
Back
To rationalize the denominator, multiply the numerator and denominator by a suitable radical that will eliminate the radical in the denominator.
7.
FLASHCARD QUESTION
Front
What is the square root of 16?
Back
The square root of 16 is 4, since 4 x 4 = 16.
Tags
CCSS.8.EE.A.2
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