Simplifying Radical Expressions

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What is a radical expression?

Back

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 radicand in a radical expression?

Back

The radicand is the number or expression inside the radical symbol.

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What is the purpose of rationalizing the denominator?

Back

Rationalizing the denominator is done to eliminate any radicals from the denominator of a fraction.

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What is the index in a radical expression?

Back

The index indicates the degree of the root; for example, in a square root, the index is 2.

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What is the difference between a square root and a cube root?

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A square root is the number that, when multiplied by itself, gives the original number, while a cube root is the number that, when multiplied by itself three times, gives the original number.

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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, often by factoring out perfect squares or cubes.

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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.