Radical Equations Flashcard

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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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How do you isolate a radical in an equation?

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To isolate a radical, you can move all other terms to the opposite side of the equation, leaving the radical alone on one side.

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The first step is to eliminate the fraction by multiplying both sides of the equation by the denominator.

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What does it mean to square both sides of an equation?

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Squaring both sides of an equation means raising each side to the power of 2 to eliminate a square root.

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What is the importance of checking solutions in radical equations?

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Checking solutions is important because squaring both sides can introduce extraneous solutions that do not satisfy the original equation.

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What is an extraneous solution?

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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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What is the square root property?

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