问题描述: 先化简,再求值:x+根号xy/根号xy+y+根号xy-y/x-xy,其中x=根号3+1,y=根号3-1 1个回答 分类:数学 2014-10-04 问题解答: 我来补答 [x+√(xy)]/[√(xy)+y]+[√(xy)-y]/[x-√(xy)]=[x+√(xy)]*[√(xy)-y]/(xy-y²)+[√(xy)-y]*[x+√(xy)]/(x²-xy)=[x√(xy)-y√(xy)]/[y(x-y)]+[x√(xy)-y√(xy)]/[x(x-y)]=√(xy)/y+√(xy)/x=√(xy)(x+y)/xy=√[(√3+1)(√3-1)](√3+1+√3-1)/[(√3+1)(√3-1)]=√2*2√3/2=√6 对吗. 展开全文阅读