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a fost răspuns

a = (√2+3)² +(√2-1)(√2-5) aratati ca a ∈ N

Răspuns :

[tex]a=2+6\sqrt{2}+9+2-5\sqrt{2}-\sqrt{2}+5=18\in N[/tex]
A = (√2+3)² +(√2-1)(√2-5)
=2+6√2+9+2-5√2-√2+5
=18
................................................
q.e.d.

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