What is a radical equation?
Solving Radical Equations

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in a radical equation?
Back
To isolate a variable in a radical equation, you can 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
The first step is to square both sides of the equation to eliminate the square root: (√(x + 3))^2 = 5^2.
4.
FLASHCARD QUESTION
Front
What do you do after squaring both sides of a radical equation?
Back
After squaring both sides, simplify the equation and solve for the variable.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation √(x + 3) = 5?
Back
The solution is x = 22, found by squaring both sides and then isolating x.
6.
FLASHCARD QUESTION
Front
Why is it important to check your solutions in radical equations?
Back
It's important to check solutions because squaring both sides can introduce extraneous solutions that do not satisfy the original equation.
7.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.
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