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The sum of the three can be rational or irrational.

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Q: What is The sum of a ration and an irrational number?

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it will be irrational

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

The sum is irrational.

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

An irrational number.

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

irrational

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

It is usually irrational but it can be rational if the ration number in the pair is zero. So the correct answer is "either".

Wrong. It is always an irrational number.

No. The sum of an irrational number and any other [real] number is irrational.

It is always an irrational number.

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