Question

已知x=根号3+根号2/根号3-根号2,求x/x-5的值

Answer 1

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