
Approximation to square roots
Posted:
Jan 18, 2014 10:51 PM


> > Is this a known theorem? > > "For each N,there exists a rational x / y such that the difference x / y  > > Sqr(N) is less than 1 / [2N^2.Sqr(N)]. x, y is a solution of Pell´s > > equation x^2 + N.y^2 = 1 ". > Bert. The theorem about Pell´s equation and continued fractions is well > known. But not the inequality I propose. Please write down your complete > demonstration. Could the inequality come of the know inequalities of the partial fractions? 

