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A=(√2-1/2)²+(√2/2+1)²+(1/2-√5)(1/2+√5)
Aratati ca a este intreg


Răspuns :

2-2√2/2+1/4+2/4+2√2/2+1+1/4-5=
-2+/1+2+1/4=
-2+4/4=
-2+1=-1....
Ridici parantezele la patrat:
-√2+9/4+√2+3/2-19/4=
(9+6-19)/4=-4/4=-1 ∈ Z