Answer:
[tex]8.1\pi[/tex] is an irrational number.
Step-by-step explanation:
We are asked to find the subset to which 8.1 pi belongs.
We know that [tex]\pi[/tex] is an irrational number. We also know that the product of any non-zero rational number and an irrational number is always irrational.
We can see that 8.1 is a non-zero rational number.
Therefore, [tex]8.1\pi[/tex] is an irrational number.