Solving Radical Equations

Flashcard
•
Mathematics
•
10th - 12th Grade
•
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 isolate a radical in an equation?
Back
To isolate a radical, you can 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
Simplify the equation and solve for the variable.
5.
FLASHCARD QUESTION
Front
What is a potential issue when solving radical equations?
Back
Squaring both sides can introduce extraneous solutions that do not satisfy the original equation.
6.
FLASHCARD QUESTION
Front
How can you check if a solution is valid in a radical equation?
Back
Substitute the solution back into the original equation to see if it holds true.
7.
FLASHCARD QUESTION
Front
What does it mean if a radical equation has no solution?
Back
It means that there are no values for the variable that satisfy the equation.
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