What is a radical equation?
Solve Radical Equations

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•
Mathematics
•
9th - 11th 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 variable in a radical equation?
Back
Square both sides of the equation to eliminate the radical, then solve for the variable.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation √(x + 3) = 5?
Back
Square both sides to get x + 3 = 25.
4.
FLASHCARD QUESTION
Front
What should you do after squaring both sides of a radical equation?
Back
Isolate the variable and solve for it.
5.
FLASHCARD QUESTION
Front
What is the importance of checking your solutions in radical equations?
Back
To ensure that the solutions do not produce extraneous results when substituted back into the original equation.
6.
FLASHCARD QUESTION
Front
Solve the equation √(x - 1) = 3. What is x?
Back
x = 10.
7.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
A solution that emerges from the process of solving an equation but does not satisfy the original equation.
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