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It is an irrational number.

Q: What is the sum of an rational number and irrational number?

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

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

It is always irrational.

The sum is irrational.

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

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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.

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

It is always irrational.

The sum is irrational.

Such a sum is always irrational.

The sum of the three can be rational or irrational.

Any, and every, irrational number will do.

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

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

Yes

Yes.