Question

como se faz a expressao raiz de 1,777.../raiz de 0,111...​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{1,777... = \dfrac{16}{9}}$

$\mathsf{0,111... = \dfrac{1}{9}}$

$\mathsf{\dfrac{\sqrt{1,777...}}{\sqrt{0,111...}} = \dfrac{\sqrt{16/9}}{\sqrt{1/9}}}$

$\mathsf{\dfrac{\sqrt{1,777...}}{\sqrt{0,111...}} = \dfrac{4/3}{1/3}}$

$\boxed{\boxed{\mathsf{\dfrac{\sqrt{1,777...}}{\sqrt{0,111...}} = 4}}}$