x-y分之1除以(y分之1-x分之1) 其中x=根号3+根号3 y=根号3-根号2

问题描述:

x-y分之1除以(y分之1-x分之1) 其中x=根号3+根号3 y=根号3-根号2

1/(x-y) ÷ ( 1/y - 1/x) =1/(x-y) ÷ ( x-y)/xy =1/(x-y) * xy/(x-y) =xy/(x-y) 由:x =√3 +√2 ; y=√3 -√2 xy = (√3) -(√2) =3-2 =1 x-y =√3 +√2 -√3+√2=2√2 (x-y)=8 则:原式=xy/(x-y) =1/8