Recent content by mmd50

  1. M

    Is (x+sqrt(2)) or (-x+sqrt(2)) rational?

    x=sqrt(2) so... 2(sqrt(2))=(m/n) I think I can take it from here. Thanks!
  2. M

    Is (x+sqrt(2)) or (-x+sqrt(2)) rational?

    Homework Statement Prove that for each real number x, (x+sqrt(2)) is irrational or (-x+sqrt(2)) is irrational. Homework Equations We have already proven sqrt(2) is irrational and a rational+an irrational=irrational. The Attempt at a Solution Proof by contradiction...