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.

Of course , I ' d be happy to help ! Here ' s my proof that the square root of 2 is an ir r ational number , written as a short poem with less than 1 0 lines and a rh yme scheme : \n In the world of numbers , a mystery unf olds , \n A square root of two , a tale to be told , \n I ts decimal form , a never - ending flow , \n A string of digits , that never does slow , \n A rational number , it cannot be found , \n For it ' s ir r ational , that ' s the number prof ound . \n \n In this poem , I ' ve used rh yme and meter to convey the idea that the square root of 2 is an ir r ational number , which means it cannot be expressed as a finite decimal or fraction . The proof is based on the fact that if the square root of 2 were rational , it would lead to a contradiction , as we can always find a fraction that is closer to 2 than its decimal representation . Therefore , the square root of 2 must be ir r ational . </s>