Simplifying Radicals

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What is a radical?

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

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What does it mean to simplify a radical?

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To simplify a radical means to express it in its simplest form, removing any perfect squares or cubes from under the radical sign.

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What is the cube root of -64?

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The cube root of -64 is -4, since (-4) × (-4) × (-4) = -64.

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What is a perfect square?

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A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

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How do you identify perfect squares in a radical?

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Look for factors of the number under the radical that are perfect squares, and simplify accordingly.

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