Recent content by Economan

  1. E

    MHB How Does Modular Arithmetic Prove the Irrationality of Root 3?

    Thank you for your replies, chisigma and I like Serena. I've followed what you said and get to here: m^2 = 0 (mod 3) which implies that m^2 = 3k. This leads to m = (root3)(rootk). Can I then multiply by root3 to get (root3)m = 3(rootk), and does this then imply that either m or root3 are...
  2. E

    MHB How Does Modular Arithmetic Prove the Irrationality of Root 3?

    Hi everyone, I am new to the site so please let me know if I'm posting in the wrong place. I am starting to teach myself number theory and would like a bit of help with a problem. How would I go about showing "If m^2 = 0 (mod 3) then m = 0 (mod 3)"? I am then asked to deduce that root 3 is...
Back
Top