simplifying radicals

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What is a radical?

Back

A radical is a symbol that represents the root of a number, such as the square root (√) or cube root (∛).

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How do you simplify a square root?

Back

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

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What is the square root of 24?

Back

The square root of 24 simplifies to 2√6.

Front

What is the cube root of 8?

Back

The cube root of 8 is 2, since 2 x 2 x 2 = 8.

Front

How do you simplify cube roots?

Back

To simplify cube roots, factor the number under the root into its prime factors and look for groups of three. Each group can be taken out of the root as a single factor.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3, since 3 x 3 x 3 = 27.

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What is the fourth root of 16?

Back

The fourth root of 16 is 2, since 2 x 2 x 2 x 2 = 16.

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