If a number is not a rational number then it is a?

1.an integer
2.an irrational #
3.a whole #
4.a radical

I believe its irrational but that seems to easy? Please help

It is that easy.

Irrational means "not rational", just like

irresponsible means not responsible

Thank you - I appreciate your help...

If a number is not a rational number, then it is an irrational number. Therefore, option 2, "an irrational number," is the correct answer. It is indeed possible that the answer seems easy, but that is because irrational numbers are a distinct category from rational numbers and have their own unique properties.

To determine what a number is if it is not a rational number, you can start by understanding what a rational number is. A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers.

Now, let's consider the given options:

1. An integer: While all integers are rational numbers, not all non-rational numbers are integers. So, this option can be eliminated.

2. An irrational number: You are correct! If a number is not a rational number, it is classified as an irrational number. Irrational numbers cannot be expressed as fractions and typically have non-repeating, non-terminating decimal representations. Examples of irrational numbers include √2, π, and e.

3. A whole number: Whole numbers are rational numbers, as they can be expressed as fractions with a denominator of 1. So, this option is also incorrect.

4. A radical: While some irrational numbers can be represented using radicals (like √2), not all non-rational numbers are radicals. Therefore, this option is not applicable.

In conclusion, if a number is not a rational number, the correct answer is option 2: an irrational number.