I have the following problem:
Prove that if ab is irrational for any arbitrary positive integer b, then a
I was thinking that if a was already an irrational number like the square root of 2. and b was equal to 3 then I would have the cubed root of 22 which is :
Is this sufficient enough to prove a statement? I don't need to use any type of laws. Just need to prove if it's true/false.