M2H S1 LT 3 Solving Radical Equations Final Review

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What is a radical equation?

Back

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 square root in an equation?

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To isolate a square root, move all other terms to the opposite side of the equation and ensure the square root is alone on one side.

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What do you do after isolating the square root?

Back

Square both sides of the equation to eliminate the square root.

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x=64.

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x=25.

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Front

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

Back

Squaring both sides of an equation is used to eliminate square roots, but it can introduce extraneous solutions.

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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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How do you check if a solution is valid?

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Substitute the solution back into the original equation to see if it holds true.