Ne folosim de faptul ca legea ❟❟ ∗ ❜❜ e asociativă.
[tex]x*y = 2(x-3)(y-3)+3 \\ \\ 3*y = 2(3-3)(y-3)+3 = 0+3 = 3 \\ \\ \Rightarrow 3*y =3 \\ \\ \\\sqrt{1}*\sqrt{2}*...*\sqrt{2017} = \\ \\ = \sqrt{9}*\Big(\sqrt{1}*\sqrt 2*...*\sqrt{8}*\sqrt{10}*\sqrt{11}*...*\sqrt{2017}\Big) = \\ \\ = 3*\underset{\Big a}{\underbrace{\Big(\sqrt{1}*\sqrt 2*...*\sqrt{8}*\sqrt{10}*\sqrt{11}*...*\sqrt{2017}\Big) }}= \\ \\ = 3*a = \boxed{3}[/tex]
