Question

1 determinati patratele perfecte dintre numerele naturale: 18,289,243,196,1548,3136,48841;2 la puterea 6 x 5 la puterea 2 ; 5k+2, k ∈ N

Answer 1

Patratele perfecte: 289, 196, 3136, 48841, $2^{6} * 5^{2}$
$\sqrt{289} = \sqrt{ 17^{2} } =17$
$\sqrt{196} = \sqrt{ 14^{2} } =14$
$\sqrt{3136} = \sqrt{ 56^{2} } =56$
$\sqrt{48841} = \sqrt{ 221^{2} } =221$
$2^{6} * 5^{2} =64*25=1600$
$\sqrt{1600} = \sqrt{ 40^{2} } =40$