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( √3-1)(4+2 √3)/ √3+1

Răspuns :

(√3-1)(4+2 √3)/ (√3+1)=
=2(√3-1)(2+√3)(√3-1)/(√3+1)(√3-1)=
=2(√3-1)²(2+√3)/(3-1)=
=2(√3-1)²(2+√3)/2=
=(√3-1)²(2+√3)=
=(3-2√3+1)(2+√3)=
=(4-2√3)(2+√3)=
=2(2-√3)(2+√3)=
=2(4-3)=2




(√3-1)(4+2√3)/(√3+1)= =(√3-1)(1+√3)^2 /(√3+1)= =(√3-1)(1+√3)= =√3+3-1-√3=2