Solve 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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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 and simplify.

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Multiply both sides by 2 to eliminate the fraction.

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What does it mean to check for extraneous solutions?

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Checking for extraneous solutions means verifying that the solutions obtained from the equation satisfy the original equation.

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What is the square root of 144?

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The square root of 144 is 12.

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What is the principle of squaring both sides of an equation?

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Squaring both sides of an equation can eliminate a square root, but it may introduce extraneous solutions.

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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.