srry the question will be prove that for any there is no rational x&y such that x^2+y^2 equal to 3.
mycroft holmes
Last Activity: 11 Years ago
Suppose there are rationals satisfying this equation, we have
(m/n)^2+(k/l)^2 = 3 or (ml)^2+(kn)^2 = 3(ln)^2
Note that the highest power of 3 that divides LHS is even, while it is odd on RHS.
Hence this equation is impossible in integers.
Hence no rational solutions exist