2+√3
Пошаговое объяснение:
(1+√3/3) / (1-√3/3) =
=(1*3/3 +√3/3) / (1*3/3 -√3/3) =
=( (3+√3)/3 ) / ( (3-√3)/3 )=
=( (3+√3)/3 ) * ( 3/(3-√3) )=
=(3+√3) / ( 3-√3)=
=(3+√3)*(3+√3) / (3-√3)*(3+√3)=
=(3+√3)² / (3²-√3²)=
=(3²+√3²+2*3√3)/(9-3)=
=(9+3+6√3)/6=
=(12+6√3)/6=
=(6*2+6*√3)/6=
=2+√3
2+√3
Пошаговое объяснение:
(1+√3/3) / (1-√3/3) =
=(1*3/3 +√3/3) / (1*3/3 -√3/3) =
=( (3+√3)/3 ) / ( (3-√3)/3 )=
=( (3+√3)/3 ) * ( 3/(3-√3) )=
=(3+√3) / ( 3-√3)=
=(3+√3)*(3+√3) / (3-√3)*(3+√3)=
=(3+√3)² / (3²-√3²)=
=(3²+√3²+2*3√3)/(9-3)=
=(9+3+6√3)/6=
=(12+6√3)/6=
=(6*2+6*√3)/6=
=2+√3