Question

qual o valor de x = √0,444... + $\frac{16}{0,888...}$?
preciso da resolução da pergunta.

Answer 1

$\sqrt{0.444...} + \frac{16}{0.888...} = \\ \sqrt{ \frac{4}{9} } + \frac{16}{ \frac{8}{9} } = \\ \frac{2}{3} + 16 \times \frac{9}{8} = \\ \frac{2}{3} + 2 \times 9 = \\ \frac{2}{3} + 18 = \\ \frac{2 + 54}{3} = \\ \frac{56}{3}$

espero ter ajudado você!

Answer 2

$0,444 = \frac{4 - 0}{9} = \frac{4}{9}$

$0,888... = \frac{8 - 0}{9} = \frac{8}{9}$

$\sqrt{0,444...} + \frac{16}{0,888...} = \sqrt{ \frac{4}{9} } + \frac{16}{ \frac{8}{9} }$

$\frac{2}{3} + 16. \frac{9}{8} = \frac{2}{3} + 18 = \frac{2 + 54}{3} =\frac{56}{3}$