Question

qual o valor de
$\sqrt{0.111}$
prfvv me ajudemm​

Answer 1

$\Large\boxed{\begin{array}{l}\sf x=0,111...\cdot10\\\sf 10x=1,111...\\-\underline{\begin{cases}\sf 10x=1,111....\\\sf x=0,111...\end{cases}}\\\sf 9x=1\\\sf x=\dfrac{1}{9}\\\\\sf \sqrt{0,111...}=\sqrt{\dfrac{1}{9}}=\dfrac{1}{3}\end{array}}$

Answer 2

Resposta:

$\frac{1}{3}$

Explicação passo-a-passo:

$\sqrt{0.111...}$

$\sqrt{ \frac{1}{9} } = \frac{ \sqrt{1} }{ \sqrt{9} } = \frac{1}{3}$