Radicals and Rationals

Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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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 is typically represented using the radical symbol (√).
Tags
CCSS.8.NS.A.1
2.
FLASHCARD QUESTION
Front
How do you convert a rational exponent to radical form?
Back
To convert a rational exponent to radical form, use the formula a^(m/n) = n√(a^m), where 'n' is the root and 'm' is the power.
Tags
CCSS.HSN.RN.A.2
3.
FLASHCARD QUESTION
Front
What is the product rule for radicals?
Back
The product rule states that √(a) * √(b) = √(a * b) for any non-negative numbers a and b.
4.
FLASHCARD QUESTION
Front
What is the quotient rule for radicals?
Back
The quotient rule states that √(a/b) = √(a) / √(b) for any non-negative numbers a and b, where b ≠ 0.
5.
FLASHCARD QUESTION
Front
How do you simplify the expression 4^(1/3) * 4^(4/3)?
Back
You can simplify it by adding the exponents: 4^(1/3 + 4/3) = 4^(5/3).
Tags
CCSS.HSN.RN.A.2
6.
FLASHCARD QUESTION
Front
What is the definition of a rational number?
Back
A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0).
Tags
CCSS.7.NS.A.2D
CCSS.8.NS.A.1
7.
FLASHCARD QUESTION
Front
What is the difference between a rational number and an irrational number?
Back
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.
Tags
CCSS.8.NS.A.1
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