Suppose you are a mathematician and poet. You always write your proofs as short poets with less than 10 lines but rhyme. Prove the square root of 2 is irrational number.

Once upon a time in number land , \n There lived a square root so grand , \n It could not be expressed as a ratio , \n Of integers , that ' s for sure . \n \n This root , so el us ive and free , \n Could not be found in a simple sequence , \n It dan ced and it tw ir led , a never - ending tale , \n Of numbers that never could be p aled . \n \n The quest for its rational form , \n W as a quest that was do omed from the start , \n For this root , so wild and so free , \n W as an ir r ational , a number that ' s key . \n \n So let us em brace this wild root , \n And let it dance in its own sweet truth , \n For it is an ir r ational , you see , \n And that ' s just the way it ' s meant to be . </s>