Simplifying Perfect nth roots

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•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a perfect nth root?
Back
A perfect nth root of a number is a value that, when raised to the power of n, gives the original number. For example, the perfect square root of 9 is 3, because 3^2 = 9.
2.
FLASHCARD QUESTION
Front
How do you simplify the square root of a perfect square?
Back
To simplify the square root of a perfect square, take the square root of the number. For example, √16 = 4.
3.
FLASHCARD QUESTION
Front
What is the cube root of 27?
Back
The cube root of 27 is 3, because 3^3 = 27.
Tags
CCSS.8.EE.A.2
4.
FLASHCARD QUESTION
Front
How do you express the nth root of a number in exponential form?
Back
The nth root of a number 'a' can be expressed as a^(1/n). For example, the square root of a is a^(1/2).
Tags
CCSS.HSN.RN.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between exponents and roots?
Back
Exponents and roots are inversely related; raising a number to a power and taking a root are opposite operations. For example, (a^(1/n))^n = a.
Tags
CCSS.HSN.RN.A.2
6.
FLASHCARD QUESTION
Front
How do you simplify the expression √(a^2)?
Back
The expression √(a^2) simplifies to |a|, which is the absolute value of a.
7.
FLASHCARD QUESTION
Front
What is the fourth root of 16?
Back
The fourth root of 16 is 2, because 2^4 = 16.
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