Respuesta :

We are given the following number

[tex]2\pi[/tex]

Notice that pi (π) is an irrational number since it cannot be written as a fraction of two numbers.

The value of pi (π) is

[tex]\pi=3.14159\ldots[/tex]

As you can see the decimal numbers are kept on repeating and they are different, that is why they are called non-recurring non-terminating numbers.

An irrational number is not a whole number, integer, and rational number.

Therefore, the given number is only an irrational number.