Simplifying Radicals & Radical Equations

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What is a radical?

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A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

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How do you simplify a radical expression?

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To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs (for square roots) or triplets (for cube roots) to simplify.

Front

What is the square root of 45?

Back

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What does it mean for a radical equation to have no solution?

Back

A radical equation has no solution when the radical is isolated and equal to a negative number.

Tags

CCSS.HSA.REI.A.2

Front

How do you multiply two radical expressions?

Back

To multiply two radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately.

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Back

Tags

CCSS.HSN.RN.A.2

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Tags

CCSS.HSN.RN.A.2

Front

What is the principle of squaring both sides of a radical equation?

Back

Squaring both sides of a radical equation can eliminate the radical, but it may introduce extraneous solutions.

Tags

CCSS.HSA.REI.A.2

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

Tags

CCSS.HSA.REI.A.2