Question

Giải chi tiết với ạ

Answer 1

1: ĐKXĐ: x>=0; x<>1

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

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

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