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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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Back

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CCSS.HSA.REI.A.2

Front

How do you eliminate a square root in an equation?

Back

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

Tags

CCSS.HSA.REI.A.2

Front

Back

Tags

CCSS.HSA.REI.A.2

Front

What should you do after solving a radical equation?

Back

Check your solution by substituting it back into the original equation to ensure it holds true.

Tags

CCSS.HSA.REI.A.2

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What is the importance of isolating the radical in a radical equation?

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Isolating the radical simplifies the equation and allows for easier manipulation to solve for the variable.

Tags

CCSS.HSA.REI.A.2

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What is the general form of a radical equation?

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CCSS.HSA.REI.A.2

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What happens if you square both sides of an equation incorrectly?

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Squaring both sides incorrectly can introduce extraneous solutions that do not satisfy the original equation.

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 emerges from the process of solving the equation but does not satisfy the original equation.

Tags

CCSS.HSA.REI.A.2

Front

How can you check if a solution is extraneous?

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Substitute the solution back into the original equation; if it does not satisfy the equation, it is extraneous.

Tags

CCSS.HSA.REI.A.2