Rational and Irrational Numbers

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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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Rational

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No, division by zero is undefined.

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What is the square root of 49?

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@@ ext{The square root of 49 is } 7, ext{ which is rational.}$$

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Rational

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π is an irrational number, approximately equal to 3.14159.

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Irrational

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What is the cube root of 8?

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@@ ext{The cube root of 8 is } 2, ext{ which is rational.}$$