Radical Review

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the operation of finding a number that, when multiplied by itself a certain number of times, gives the original number.

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the root into its prime factors, and then pair the factors. Each pair can be taken out of the root as a single number.

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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 if possible.

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What is the square of a radical?

Back

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How do you multiply radicals?

Back

To multiply radicals, multiply the coefficients (numbers in front) and then multiply the radicands (numbers inside the radical). Simplify if possible.

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What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction by multiplying the numerator and denominator by a suitable radical.

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