1/(2√2+2√3-√6-√3-√2)
=
= 1/(√2+√3-√6)
=
= (√2+√3+√6)
/(√2+√3-√6)
(√2+√3+√6)
=
= (√2+√3+√6)
/[(√2+√3)²-(√6)²]
=
= (√2+√3+√6)
/(2+3+2√6-6)
=
= (√2+√3+√6)
/(2√6-1)
=
= (√2+√3+√6) (2√6+1)/(2√6-1)(2√6+1)
=
= (2√12+2√18+12+√2+√3+√6)/(24-1)=
= (4√3+6√2+12+√2+√3+√6)/23=
= (5√3+7√2+√6+12)/23