What is a radical equation?
Radical Equations

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•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An equation that contains a variable within a radical (square root, cube root, etc.).
2.
FLASHCARD QUESTION
Front
How do you isolate a radical in an equation?
Back
To isolate a radical, move all other terms to the opposite side of the equation.
3.
FLASHCARD QUESTION
Front
What is the first step in solving a radical equation?
Back
Square both sides of the equation to eliminate the radical.
4.
FLASHCARD QUESTION
Front
What should you do after squaring both sides of a radical equation?
Back
Solve the resulting equation for the variable.
5.
FLASHCARD QUESTION
Front
What is a common mistake when solving radical equations?
Back
Forgetting to check for extraneous solutions after solving.
6.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
A solution that does not satisfy the original equation.
7.
FLASHCARD QUESTION
Front
How can you check if a solution is extraneous?
Back
Substitute the solution back into the original equation.
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