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Q: Is 12.67 rational or irrational

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If x is rational the it is rational. If x is irrational then it is irrational.

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No. A rational plus an irrational is always an irrational.

No, they are disjoint sets: no rational is irrational and no irrational is rational.

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1.14 is rational.

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Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]

It is always irrational.

It is a rational number.

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It is rational, as it is possible to express it as a fraction.

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