已知x=根号3+根号2/根号3-根号2,求x/x-5的值
问题描述：
已知x=根号3+根号2/根号3-根号2,求x/x-5的值
答
x=(√3+√2)/(√3-√2)
=(√3+√2)^2/[(√3-√2)(√3+√2)]
=5+2√6
x/x-5
=(5+2√6)/(5+2√6-5)
=(5+2√6)/(2√6)
=(5+2√6)×2√6/(2√6)²
=(10√6+24)/24
=(5√6+12)/12