Recent content by Smb

I forgot to rewrite it! I'm sorry for the misunderstanding it can be and/or.Both b +c(-Q and bc(-Q could be a case..

I worked out the answer easily but the method is slow. I'll write for the first one because I don't have much time now: a+b(-Q b+c(-Q a+c(-Q ab+bc+ac+b^2(-Q ab+bc+ac+c^2(-Q (b-c)(b+c)(-Q b-c(- Q Analogically we can do for each pair of numbers. b^2-2bc+c^2-B^2-2bc-c^2(-Q => bc (- Q Analogically...

Ten mutually distinct non-zero reals are given such that for any two, either their sum or their product is rational. Prove that squares of all these numbers are rational. I tried using 3 of those numbers - a, b and c. And I checked each of the possible situations but I'm not sure if my maths...