Question

Mọi người giải hộ mik bài này

Answer 1

Ta có: \(A=\frac{\sqrt{x}+2}{\sqrt{x}-2}\left(\frac{x+4}{x-4}-\frac{2}{\sqrt{x}-2}\right)-1\)

\(=\frac{\sqrt{x}+2}{\sqrt{x}-2}\left(\frac{x+4}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}-\frac{2}{\sqrt{x}-2}\right)-1\)

\(=\frac{\sqrt{x}+2}{\sqrt{x}-2}\cdot\frac{x+4-2\left(\sqrt{x}+2\right)}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-2\right)}-1\)

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