FLASHCARD: Solving Equations w/ Radicals & Rational Exponents
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical equation?
Back
An equation that contains a variable within a radical (square root, cube root, etc.).
2.
FLASHCARD QUESTION
Front
How do you solve a radical equation?
Back
Isolate the radical on one side and then square both sides to eliminate the radical.
3.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
A solution that does not satisfy the original equation after checking.
4.
FLASHCARD QUESTION
Front
What is the first step in solving the equation √(x + 3) = 5?
Back
Square both sides to eliminate the square root.
5.
FLASHCARD QUESTION
Front
What does it mean to check your answer in a radical equation?
Back
Substituting the solution back into the original equation to verify it holds true.
6.
FLASHCARD QUESTION
Front
What is a rational exponent?
Back
An exponent that is a fraction, representing both a root and a power.
7.
FLASHCARD QUESTION
Front
How do you convert a radical expression to a rational exponent?
Back
Use the formula: √(a) = a^(1/2) or a^(m/n) = n√(a^m).
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