Solving Radical Equations Practice

Front

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.).

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

Front

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

Front

What is the general form of a radical equation?

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Tags

CCSS.HSA.REI.A.2

Front

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