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

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

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Such a sum is always irrational.

The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.

Yes

The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.

10.01 is a rational 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.

Such a sum is always irrational.

An irrational number.

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.