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# What number is both rational and irrational?

Wiki User

2009-04-14 12:39:14

None.

A rational number is a number that can be written as the quotient of two integers where the divisor is not zero.

An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero.

Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time.

The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.

Wiki User

2009-04-14 12:39:14
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