ĐKXĐ: \(x>0;x\ne 1\)
\(P=(\dfrac{1}{x-\sqrt x}+\dfrac{1}{\sqrt x-1}):\dfrac{\sqrt x}{x-2\sqrt x+1}\\=(\dfrac{1}{\sqrt x(\sqrt x-1)}+\dfrac{\sqrt x}{\sqrt x(\sqrt x-1)}).\dfrac{(\sqrt x-1)^2}{\sqrt x}\\=\dfrac{\sqrt x+1}{\sqrt x(\sqrt x-1)}.\dfrac{(\sqrt x-1)^2}{\sqrt x}\\=\dfrac{(\sqrt x-1)(\sqrt x+1)}{(\sqrt x)^2}\\=\dfrac{x-1}{x}\)