Thank you! Can you give me an example of how you would work this out ?The steps to prove the irrationality of ANY number are essentially the same. You start by assuming your number can be written as the irreducible fraction of integers a/b where b =/= 0, then manipulate to show it CAN be reduced, thereby creating a contradiction.
Let’s look at Euclid’s proof that the square root of two is irrational.Thank you! Can you give me an example of how you would work this out ?
....which is why i said: ..."in the same vein"....Equivalent to using integer root theorem. I avoid it as much as possible because it usually reminds me of Gauss' lemma on quadratic reciprocity.