Question

Which elements of the set of natural numbers are also irrational numbers?

Answer 1

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal

Answer 2

No element of set of natural numbers can also be an irrational number.

Explanation:

The real numbers are collection of all rational numbers and irrational numbers.

Rational numbers are the numbers that can be expressed in the form of fraction and have a terminating decimal expansion. On the other hand irrational numbers are the numbers that cannot be expressed in the form of fraction and have a non-termination decimal expansion.

Now, natural numbers fall under the category of rational numbers. It is denoted by
`\mathbb{N}`.

Thus, no element of set of natural numbers can also be an irrational number that is natural number cannot be irrational numbers.