Simplifying Radicals and Radical Operations

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What is a radical?

Back

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

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How do you simplify a radical?

Back

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

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What is the square root of 36?

Back

6

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What is the product of two radicals?

Back

The product of two radicals can be simplified by multiplying the numbers under the radicals together, then simplifying the resulting radical.

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How do you add radicals?

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Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.