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2014-08-06T11:13:42+03:00
Presupunem ca √(105n +12) ∈ Q

caz 1) n-par =>n=2k

√(105n+12)= √(....0)+12=  √(......2) ∈Q (fals)

caz 2)n-impar  =>n=2k+1

√(105n+12)=  √(....5)+12=  √(......7) ∈Q  (fals)
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2014-08-06T19:05:45+03:00
Presupunem ca √(105n +12) ∈ Q

caz 1) n-par =>n=2k

√(105n+12)= √(....0)+12=  √(......2) ∈Q (fals)

caz 2)n-impar  =>n=2k+1