Such a sum is always 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.
The sum of two irrational numbers may be rational, or irrational.
An irrational number.
It is usually irrational but it can be rational if the ration number in the pair is zero. So the correct answer is "either".
No. In fact the sum of a rational and an irrational MUST be irrational.
irrational
Wrong. It is always an irrational number.
No. The sum of an irrational number and any other [real] number is irrational.
The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.