Question

nr 8^2014+9^2013 poate fi pătrat perfect? justificați.​

Answer 1

u(8^2014)

8^1=8

8^2=64

8^3=...2

8^4=...6

8^5=...8

...............

=>2014:4=503 rest 2 => u(8^2014)=4

u(9^2013)

9^1=9

9^2=81

9^3=...9

9^4=...1

................

=> 2013:2=1006 rest 1 => u(9^2013)=9

u(8^2014+9^2019)=u(4+9)=u(13)=3 - NU ESTE PĂTRAT PERFECT

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