Simplify Radicals

Front

What is a radical?

Back

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

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Front

What does it mean to 'simplify' a radical?

Back

To 'simplify' a radical means to express it in its simplest form, removing any perfect square factors from under the radical.

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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 product of an integer with itself, such as 1, 4, 9, 16, etc.

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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.