Question

N=(5^62+5^61+5^60)•961 este cub perfect

Answer 1

$N=(5^{62}+5^{61}+5^{60})*961$

$N=5^{60}*(5^2+5^1+5^0)*961$

$N=5^{60}*(25+5+1)*961$

$N=5^{60}*31*961$

$N=5^{60}*31*31^2$

$N=(5^{20})^3*31^3$

$N=(5^{20}*31)^3$ -demonstreaza ca este cub perfect