Question

rút gọn biểu thức

Answer 1

\(\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}+\dfrac{\sqrt{x}}{x-\sqrt{x}}\right):\left(\dfrac{\sqrt{x}+1}{3}\right)\)

\(=\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}+\dfrac{\sqrt{x}}{\sqrt{x}\left(\sqrt{x}-1\right)}\right):\left(\dfrac{\sqrt{x}+1}{3}\right)\)

\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\cdot\dfrac{3}{\sqrt{x}+1}\)

\(=\dfrac{3}{\sqrt{x}-1}\)

Answer 2

\(=\dfrac{x+\sqrt{x}}{\sqrt{x}\left(\sqrt{x}-1\right)}\cdot\dfrac{3}{\sqrt{x}+1}=\dfrac{3}{\sqrt{x}-1}\)