Simplifying Radicals

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What is a radical?

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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 square factors from under the radical sign.

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What is the square root of 169?

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What is the square root of 144?

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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. For example, 1, 4, 9, 16, and 25 are perfect squares.

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How do you identify perfect square factors of a number?

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To identify perfect square factors, list the factors of the number and check which of them are perfect squares. For example, for 72, the perfect square factors are 1, 4, and 36.

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