Hi, can someone please help me here? Prove that every nonnegative real number x has a unique nonnegative nth root x^(1/n). The problem gives a hint - existence of x^(1/n) can be seen by applying intermediate value theorem to function f(t) = t^n for t>= 0. But I still don't get it - proofs are such a hurdle for me. i'm hoping that I can get over that hurdle...soon... Thanks!