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Aratati ca numarul p=(√5+√2)²-√2·(√5+√2)-√5·(√2+2√5)este numar intreg.


Răspuns :

p=(√5+√2)²-√2·(√5+√2)-√5·(√2+2√5)=5+2√10+2-√10-2-√10-10=5-10=-5⇒numar intreg

(√5+√2)²-√2·(√5+√2)-√5·(√2+2√5)= 5+2√10+2-√10-2-√10-10= -5