Question

Por favor galera!!! Socorro ​

Answer 1

Resposta:

$x = 2,777... \times 10 \\10x = 27,777... \\ - - - - - - - - \\ 10x - x = 27,777... - 2,777... \\ 9x = 25 \\ \\ x = \frac{25}{9} \\ \\ \sqrt{2,777...} = \sqrt{ \frac{25}{9} } = \\ \\= \dfrac{ \sqrt{25}}{\sqrt{9}} \\ \\ = \Large \boxed{ \green{ \bf \: \dfrac{5}{3} }} \\ \Large \boxed{ \green{ \: \bf Letra \: (D) \: \dfrac{5}{3}}}\\ \Large \boxed{ \underline{ \blue{ \bf \: Bons \: Estudos!}}}$