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Q: Is 627513 rational or irrational

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Rational

10.01 is a rational number

rational

rational

Such a product is always irrational - unless the rational number happens to be zero.

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4.6 is rational.

Rational

10.01 is a rational number

It is a rational number

Rational.

Rational

No

Rational

rational

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

Rational. Rational. Rational. Rational.

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

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