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Q: Is the difference of any two irrational numbers rational or irrational?

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Yes it is. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Any rational or irrational is real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).

There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.

When added to a rational number, any irrational number will produce an irrational number.also, when added to an irrational number, any rational number will produce an irrational number.

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Yes it is. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Any rational or irrational is real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.

In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).

The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.

There isn't any. If there were, then the intersection would consist of all the numbers that are both rational and irrational, and there aren't any of those.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Any number is NOT rational. In fact, there are more irrational numbers than there are rational.

Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction. Any number that is a fraction is not an integer, but rational.