Ta có: \(C=\left(x-1-\dfrac{x-1}{\sqrt{x}}\right):\left(\dfrac{2}{x-1}-\dfrac{1}{x-\sqrt{x}}\right)\)
\(=\dfrac{x\sqrt{x}-\sqrt{x}-x+1}{\sqrt{x}}:\dfrac{2\sqrt{x}-\sqrt{x}-1}{\sqrt{x}\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\)
\(=\dfrac{\sqrt{x}\left(x-1\right)-\left(x-1\right)}{\sqrt{x}}:\dfrac{\sqrt{x}-1}{\sqrt{x}\left(\sqrt{x}+1\right)\cdot\left(\sqrt{x}-1\right)}\)
\(=\dfrac{\left(\sqrt{x}-1\right)^2\cdot\left(\sqrt{x}+1\right)}{\sqrt{x}}\cdot\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{1}\)
\(=\left(x-1\right)^2\)
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