Question

aratati ca urmatoarele numere nu sunt patrate perfecte a)2^1981 b)3^483  c)97^143  d)1998^781  e)3^83+8^68

Answer 1

2^1981=U(2^1981)=U(2^1)=2
3^483=U(3^483)=U(3^3)=U(27)=7
 97^143=U(97^143)=U(7^143)=U(7^3)=u(343)=3
 1998^781=U(1998^781=U(8^781) =U(8^1)=8
3^83+8^68=3
U(3^83)=U(3^3)=U(27)=7
U(8^68)=U(8^4)=U(4096)=6
7+6=13=3

REZULTATELE LOR NU SUNT PATRATE PERFECTE