12-35. Radical Equations

Front

Define a radical equation.

Back

A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).

Front

What is the first step in solving a radical equation?

Back

Isolate the radical on one side of the equation.

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Front

What should you do after isolating the radical in a radical equation?

Back

Square both sides of the equation to eliminate the radical.

Front

What is a common mistake when solving radical equations?

Back

Not checking for extraneous solutions after squaring both sides.

Front

Define extraneous solution in the context of radical equations.

Back

An extraneous solution is a solution that does not satisfy the original equation.