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.).

Tags

CCSS.HSA.REI.A.2

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Divide both sides by 2.

Tags

CCSS.HSA.REI.A.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.

Tags

CCSS.HSA.REI.A.2

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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.

Tags

CCSS.HSA.REI.A.2

Front

Back

Tags

CCSS.HSA.REI.A.2

Front

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.

Tags

CCSS.HSA.REI.A.2

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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.

Tags

CCSS.HSA.REI.A.2

Front

Back

Tags

CCSS.HSA.REI.A.2

Front

Back

Square both sides to eliminate the radical.

Tags

CCSS.HSA.REI.A.2

Front

Back

Tags

CCSS.HSA.REI.A.2