Question

Demonstrati ca 98765 este patrat perfect , ofer 10 puncte

Answer 1

$Observam~ca~ultimele~doua~cifre~ale~numarului~sunt~65.~Deci \\ \\ este~divizibil~cu~5~(numar~prim),~dar~nu~si~cu~5^2.~Prin~urmare \\ \\ numarul~nu~este~patrat~perfect. \\ \\ *Solutie~alternativa:~Observam~ca~9+8+7+6+5=35. \\ \\ 35:3=11~rest~2 \Rightarrow~Restul~impartirii~lui~98765~la~3~este~2,~ori,~ \\ \\ niciun~patrat~perfect~nu~da~restul~2~prim~impartirea~la~3.$