由x=√3+√2,y=√3-√2 ,得,x-y=√3+√2-√3+√2 =2√2,xy=(√3+√2)(√3-√2 )=1所以 (x-y)∧2-(x-2y)(2x-y) =(x-y)²-(2x²-xy-4xy+2y²)=(x-y)²-2(x²-2xy+y²)+xy=(x-y)²-2(x-y)²+xy=-(x-y)²+xy=-(2√2)²+1=-8+1=-7