2.6 Solving Radical and Rational Exponent Equations

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Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical expression?
Back
An expression that includes a root, such as a square root or cube root.
2.
FLASHCARD QUESTION
Front
What is a rational exponent?
Back
An exponent that can be expressed as a fraction, where the numerator is a power and the denominator is a root.
3.
FLASHCARD QUESTION
Front
How do you solve an equation with a square root?
Back
Isolate the square root on one side and then square both sides of the equation.
4.
FLASHCARD QUESTION
Front
What is the first step in solving (x + 2)^(1/2) - 5 = -2?
Back
Add 5 to both sides to isolate the square root.
5.
FLASHCARD QUESTION
Front
What is the solution to (x + 2)^(1/2) - 5 = -2?
Back
x = 7.
6.
FLASHCARD QUESTION
Front
What does it mean to check your solution in radical equations?
Back
Substitute the solution back into the original equation to verify it holds true.
7.
FLASHCARD QUESTION
Front
What is the principle of squaring both sides of an equation?
Back
It allows you to eliminate the square root, but you must check for extraneous solutions.
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