Operations with Radicals and Rational vs. Irrational (CSA Review

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What is a rational number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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What is an irrational number?

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An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

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Rational

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Irrational

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18, which is rational.

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What is the sum of a rational number and an irrational number?

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Irrational; the sum of a rational and an irrational is always irrational.

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What is the product of a nonzero rational number and an irrational number?

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Irrational; the product of a nonzero rational and an irrational is always irrational.

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Rational number.

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