Question

化简：分数线上根号3+2倍根号2-1,下2-根号3-根号2+根号6,详细点我没分啊求求求

Answer 1

分数线上根号3+2倍根号2-1,下2-根号3-根号2+根号6

=（√3+2√2-1）/（2-√3-√2+√6）

=（√3+2√2-1）/（2-√2+√6-√3）

=（√3+2√2-1）/（√2(√2-1)+√3(√2-1))

=（√3+√2+√2-1）/（√2+√3)(√2-1)

=1/(√2-1)+1/（√2+√3)

=(√2+1)1/(√2-1)(√2+1)+（√2-√3)/（√2+√3)（√2-√3)

=√2+1+（√2-√3)/（-1)

=√2+1-√2+√3

=√3+1