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Q: What irrational number can be added to pi to get a sum that is rational?

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Any, and every, irrational number will do.

The sum of the three can be rational or irrational.

The sum of a rational and irrational number must be an irrational number.

No. In fact the sum of a rational and an irrational MUST be irrational.

It is always irrational.

Such a sum is always irrational.

The sum is irrational.

The value of the sum depends on the values of the rational number and the irrational number.

An irrational number.

irrational

It is an irrational number.

The sum of two irrational numbers may be rational, or irrational.

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