Question

alguien me ayuda con éste ejercicio? a mí ne salió el inciso "e"​

Answer 1

Respuesta:

  $Y=16$

Explicación paso a paso:

         $Y=[(1.36\overline1)^{0.5}+(0.69\overline4)^{0.5}]^4\\\\Y=[(\cfrac{~49~}{36})^{0.5}+(\cfrac{~25~}{36})^{0.5}]^4\\\\\\Y=[(\cfrac{~49~}{36})^{\frac{1}{2}}+(\cfrac{~25~}{36})^{\frac{1}{2}}]^4\\\\\\Y=[\sqrt{\cfrac{~49~}{36}~}+\sqrt{\cfrac{~25~}{36}~}]^4\\\\\\Y=[\cfrac{~\sqrt{49~}~}{\sqrt{36~}}+\cfrac{~\sqrt{25~}~}{\sqrt{36}~}]^4\\\\\\Y=[\cfrac{~7~}{6}+\cfrac{~5~}{6}]^4\\\\\\Y=[\cfrac{~7+5~}{6}]^4\\\\\\Y=[\cfrac{~12~}{6}]^4\\\\\\Y=2^4\\\\Y=16$