Olá, bom dia ☺
Resolução:
[tex]x = \dfrac{3^{-2} + 2^{-1}}{\sqrt{1+ 5\cdot 4^{-1}} } + 5\dfrac{\sqrt{\dfrac{16}{9} } }{6}[/tex]
[tex]x=\dfrac{ \left( \dfrac{1}{9} + \dfrac{1}{2} \right) }{\sqrt{1 + \dfrac{5}{4} } } + 5\dfrac{\left( \dfrac{4}{3} \right)}{6}[/tex]
[tex]x = \dfrac{ \left( \dfrac{11}{18} \right)}{ \sqrt{ \left( \dfrac{9}{4} \right)} } + 5 \cdot \dfrac{4}{3} \cdot \dfrac{1}{6}[/tex]
[tex]x = \dfrac{ \left( \dfrac{11}{18} \right) }{\left( \dfrac{3}{2} \right)} + \dfrac{20}{18}[/tex]
[tex]x = \dfrac{11}{18} \cdot \dfrac{2}{3} + \dfrac{20}{18}[/tex]
[tex]x = \dfrac{22}{54} + \dfrac{20}{18}[/tex]
[tex]x = \dfrac{41}{27}[/tex]
Bons estudos :)
