Question

$\sqrt{2,777...} =$

Answer 1

Resposta:

$x = \sqrt{2.777...} \\ {x}^{2} = 2.777... \\ {x}^{2} = 2 + \frac{7}{9} \\ {x}^{2} = \frac{25}{9} \\ x= \sqrt{ \frac{25}{9} } \\ x = \frac{ \sqrt{25} }{ \sqrt{9} } \\ \LARGE \red{\boxed{x = \frac{5}{3}}}$

Espero Ter Ajudado !!

Answer 2

Explicação passo-a-passo:

2,777...=x(10)

27,777...=10x

10x-x=27,777...-2,777...

9x=25

x=25/9

*************************

√25/9

√5²/3²

5/3