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Suma cifrelor ab care verifica relatia 3 radical ab=2(a+b) este​

Răspuns :

[tex]\it \sqrt{\overline{ab}}=2(a+b) \ \ \ (1)\\ \\ 2(a+b) \in \mathbb{N},\ \ 2(a+b)\in M_2\ \stackrel{(1)}{\Longrightarrow}\ \sqrt{\overline{ab}}\in\{4,\ 6,\ 8\}\\ \\ 2(a+b)\in\{4,\ 6,\ 8\}|_{:2} \Rightarrow a+b\in\{2,\ 3,\ 4\}[/tex]