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Va rog repedeeee 1 si 2

Va Rog Repedeeee 1 Si 2 class=

Răspuns :

1. n=200+2×(200×199÷2)=200+2×19900=200+39800=40000
n = 40000 = 200 la puterea a doua = patrat perfect

2.
18^3 = (2×9)^3
deoarece 18=2×9
1)

n=200+2•(1+2+3+...+199)
n=200+2•[199(1+199):2]
n=200+2•(199•200:2)
n=200+2•(199•100)
n=200+2•19900
n=200+39800
n=40000=200² => n=pătrat perfect

2)
18³ și 2•9³

18³=5832
2•9³=2•729=1458

5832:1458=4 => 18³:2•9³=4