设:根号下x/y+根号下y/x的值=a 先平方,去掉根号 a^2=x/y +y/x+2 =(x^2+y^2)/(xy) +2 =【(x+y)^2 -2xy】/(xy) +2 =(64-10)/5 +2 =54/5 +2 =64/5 所以a=8根号5/5(负号省了)