Question

ayuda con esto por favorrrr

Answer 1

$\textbf{Resolvemos:}$

$\textit{Decimal Inexacta.} \\ \\ P\'eridico\ puro.$

$(2, 5)^{-2} + \sqrt{ \dfrac{8,\overline{5}+3,\overline{6}}{0,2-0,1}} \\ \\ \\ \left( \dfrac{25}{10}\right)^{-2} + \sqrt{ \dfrac{ \dfrac{85-8}{9}+ \dfrac{36-3}{9}}{ \dfrac{2}{10}- \dfrac{1}{10}}} \\ \\ \\ \left(\dfrac{25:5}{10:5}\right)^{-2\right)} + \sqrt{ \dfrac{ \dfrac{77}{9}+ \dfrac{33}{9}}{ \dfrac{2-1}{10}}} \\ \\ \\ \left(\dfrac{5}{2}\right)^{-2}+ \sqrt{\dfrac{\dfrac{77+33}{9}}{\dfrac{1}{10}}} \\ \\ \\ \dfrac{4}{25} + \sqrt{ \dfrac{ \dfrac{110}{9}}{ \dfrac{1}{10}}}$

$\dfrac{4}{25}+ \sqrt{ \dfrac{110*10}{9*1}} \\ \\ \\ \dfrac{4}{25} + \sqrt{\dfrac{1100}{9}} \\ \\ \\ \dfrac{4}{25} + \dfrac{ \sqrt{1100}}{ \sqrt{9}} \\ \\ \\ \dfrac{4}{25} + \dfrac{10 \sqrt{11}}{3} \\ \\ \\ \\ \dfrac{4(3) + 25(10 \sqrt{11})}{25*3} \\ \\ \\ \boxed{\dfrac{12+250 \sqrt{11}}{75}} \ \textless \ === respuesta.$