Question

Rút gọn :

A= \(\dfrac{x-\sqrt{2}-2}{x-1}\) + \(\dfrac{1}{\sqrt{x}-1}\) - \(\dfrac{1}{\sqrt{x}+1}\)

Answer 1

Answer 2

Ta có: \(A=\dfrac{x-\sqrt{x}-2}{x-1}+\dfrac{1}{\sqrt{x}-1}-\dfrac{1}{\sqrt{x}+1}\)

\(=\dfrac{x-\sqrt{x}-2+\sqrt{x}+1-\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)

\(=\dfrac{x-\sqrt{x}}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)

\(=\dfrac{\sqrt{x}}{\sqrt{x}+1}\)