Question

Ce numere sunt pătrate perfecte sau cuburi perfecte a)1600 b)1 la a 3-a +2 la a 3-a + 4 la a 2 + 12 la a 2-a. c) 3 la a 6-a d) 25 la a 7-a

Answer 1

Răspuns:

$a)1600=16*100=4^{2} * 10^{2} =(4*10)^{2} =40^{2} -> patrat \ perfect\\b)1^{3} +2^{3} +4^{2} +12^{2} =1+8+16+144=169=13^{2} -> patrat \ perfect\\c)3^{6} =3^{2*3}=(3^{2})^{3}=9^{3} -> cub\ perfect\ sau \ 3^{2*3}=(3^{3})^{2}=27^{2} => patrat \ perfect\\d) 25^{7} =(5^{2})^{7}=(5^{7})^{2} -> patrat \ perfect$

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