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  1. y = √3 - √2 y + √2 = √3 y^2 + 2 + 2y√2 = 3 √2 = (1 - y^2)/2y If y = √3 - √2 is rational , that means (1 - y^2)/2y is rational ,then √2 is rational. But we know √2 is not rational . It is impossible. So √3 - √2 is not rational.

    分類:科學及數學 > 數學 2010年02月25日

  2. ... f(x). For each An in this sequence, given their rationality , f(An) = [f(1)]^An. It suffices to show that {f(1...

    分類:科學及數學 > 數學 2007年10月17日