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Irrational numbers are never rational.

In fact they are complete opposites. A rational number is a number that can be expressed as the ratio of two integers. An irrational number cannot be expressed as the ratio of two integers.

To remember this, remember that the prefix ir- means not or no.
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By definition, a rational number is a number that can be written as a quotient between two integer numbers.

Also by definition, an irrational number is a number that can not be written as a fraction between two integers.

We will find that: irrational numbers are never rational numbers.

Suppose that N is an irrational number, then it can't be written as a quotient between two integer numbers, thus, it can not be a rational number.

Particularly, there is no rational number that is also an irrational number, and there is no irrational number that is also a rational number.

This means that the sets of rational numbers and irrational numbers are disjoint sets.

Then we can conclude that irrational numbers are never rational numbers.

If you want to learn more, you can read:

https://brainly.com/question/11155736

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