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Ultimele exercitii 1 2 3 !Va rog frumos .

Ultimele Exercitii 1 2 3 Va Rog Frumos class=

Răspuns :

1. 3 la putere 2 + 2 la putere 2
2. 13 la putere 121=(2x13 la puterea 60)la putere 2+(3x13 la putere 60)la putere 2
3.362882 se termina in 2=>nu e patrat perfect
1/156
13=2^2+3^2=4+9=13

2/156
13^121=13^120×13^1=13^120×(2^2+3^2)
=(13^60)^2×(2^2+3^2)
=(12^60)^2×2^2+(13^60)^2
=(13^60×2)^2+(13^60×3)^2
=p.p. =p.p

3/156
n=1×2×...×9+2
n=1×2×3×4×5×6×7×8×9+2
n=.....0+2
n=U(n)=2
=n nu e pătrat perfect