Question

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

rút gọn

Answer 1

`P=(2-2/(1-sqrtx)):((x+2)/(x+sqrtx-2)-sqrtx/(sqrtx+2))`
`đk:x>=0,x ne 1`
`P=(2+2/(sqrtx-1)):((sqrtx+2)/((sqrtx+2)(sqrtx-1))-sqrtx/(sqrtx+2))`
`=2(1+1/(sqrtx-1)):((x+2-x+sqrtx)/((sqrtxx+2)(sqrtx-1)))`
`=2(1+1/(sqrtx-1)):(1/(sqrx-1))`
`=2((sqrtx-1+1)/(sqrtx-1)).(sqrtx-1)`
`=2sqrtx`