Explicație pas cu pas:
4× 0,(4) = 4 × 4/9 = 16/9
40× 0,0(4)= 40 × 4/90 = 160/90 = 16/9
400 × 0,00(4) = 400 × 4/900 = 1600/900 = 16/9
[tex]x = 25 \times ( \sqrt{ \frac{16}{9} } + \sqrt{ \frac{16}{9} } + \sqrt{ \frac{16}{9} } ) \\ = 25 \times ( \frac{4}{3} + \frac{4}{3} + \frac{4}{3} ) \\ = 25 \times \frac{12}{3} = 25 \times 4 = 100[/tex]
