What is a radical equation?
Solve Radical Equations

Flashcard
•
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) = 10?
Back
Square both sides to get x = 100.
4.
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.
5.
FLASHCARD QUESTION
Front
If √(x + 3) = 5, what is the value of x?
Back
x = 22.
6.
FLASHCARD QUESTION
Front
What should you do after solving a radical equation?
Back
Check your solutions by substituting them back into the original equation.
7.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
A solution that does not satisfy the original equation after substitution.
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