Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{1,777... = \dfrac{16}{9}}[/tex]
[tex]\mathsf{0,111... = \dfrac{1}{9}}[/tex]
[tex]\mathsf{\dfrac{\sqrt{1,777...}}{\sqrt{0,111...}} = \dfrac{\sqrt{16/9}}{\sqrt{1/9}}}[/tex]
[tex]\mathsf{\dfrac{\sqrt{1,777...}}{\sqrt{0,111...}} = \dfrac{4/3}{1/3}}[/tex]
[tex]\boxed{\boxed{\mathsf{\dfrac{\sqrt{1,777...}}{\sqrt{0,111...}} = 4}}}[/tex]
