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demonstrati ca 3 supra 3-2V2 - 12+V2 supra V2 =8

Răspuns :

3/(3-2√2)-(12+√2)/√2=
3(3+2√2)/(3²-4·2)-(12√2+√2·√2)/2=(9+6√2)/(9-8)-(12√2+2)/2=(9+6√2)/1-(12√2+2)/2=
(18+12√2)/2-(12√2+2)/2=
(18+12√2-12√2-2)/2=16/2=8