Radicals & Simplifying Radical Expression

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What is a radical expression?

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Tags

CCSS.8.NS.A.1

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What does it mean to simplify a radical expression?

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To simplify a radical expression means to rewrite it in a simpler form, removing any perfect square factors from the radicand and ensuring no radicals remain in the denominator.

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What is the radicand in a radical expression?

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How do you rationalize the denominator of a fraction?

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To rationalize the denominator, multiply the numerator and denominator by a suitable radical that will eliminate the radical in the denominator.

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It is not in simplified form because it has a radical in the denominator.

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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, and 16 are perfect squares.

Tags

CCSS.8.EE.A.2

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What does it mean for a radical to be in simplest form?

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A radical is in simplest form when there are no perfect square factors in the radicand and no radicals in the denominator.

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How do you identify if a radical expression is simplified?

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A radical expression is simplified if the radicand has no perfect square factors other than 1 and there are no radicals in the denominator.