Simplifying Radical Expressions

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What does it mean to rationalize the denominator?

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Rationalizing the denominator involves eliminating any radical expressions in the denominator of a fraction, often by multiplying the numerator and denominator by a suitable radical.

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What is a radical expression?

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A radical expression is an expression that includes a root, such as a square root, cube root, etc.

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What is the process of simplifying a radical expression?

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Simplifying a radical expression involves reducing it to its simplest form, which may include factoring out perfect squares or cubes.

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What is the difference between rationalizing and simplifying?

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Rationalizing specifically refers to eliminating radicals from the denominator, while simplifying refers to reducing an expression to its simplest form.

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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.