Solving Radical Equations

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What is a radical equation?

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

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Divide both sides by 2.

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

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Square both sides of the equation to eliminate the radical.

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Why is it important to check your solutions after solving a radical equation?

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To ensure that the solutions do not produce extraneous results, which are false solutions introduced by the squaring process.

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What does it mean to isolate the radical in an equation?

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To rearrange the equation so that the radical expression is on one side by itself.

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What is an extraneous solution?

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

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Square both sides to eliminate the radical.

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