Question

B=(căn x/căn x-1):(1/căn x+1 +2/x-1)

Answer 1

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

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

\(B=\frac{\sqrt{x}}{\sqrt{x}-1}:\frac{\sqrt{x}+1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\)

\(B=\frac{\sqrt{x}}{\sqrt{x}-1}.\frac{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}{\sqrt{x}+1}=\sqrt{x}\)