Respuesta :

[tex]\frac{15\sqrt[]{90}}{\sqrt[]{125}}[/tex][tex]\begin{gathered} \frac{15\text{ x }\sqrt[]{9}\text{ x}\sqrt[]{10}}{\sqrt[]{25}\text{ x}\sqrt[]{5}} \\ \end{gathered}[/tex]

[tex]\frac{15\text{ x 3 x }\sqrt[]{10}}{5\text{ }\sqrt[]{5}}[/tex]

[tex]\begin{gathered} \frac{45\sqrt[]{10}}{5\sqrt[]{5}} \\ \frac{9\sqrt[]{10}}{\sqrt[]{5}} \end{gathered}[/tex]

[tex]\begin{gathered} \frac{9\sqrt[]{10}}{\sqrt[]{5}}\text{ x }\frac{\sqrt[]{5}}{\sqrt[]{5}} \\ \\ \frac{9\text{ }\sqrt[]{50}}{5} \end{gathered}[/tex][tex]\begin{gathered} \frac{9\text{ x}\sqrt[]{25}\text{ x}\sqrt[]{2}}{5} \\ \\ \Rightarrow\frac{9\text{ x 5x }\sqrt[]{2}}{5} \\ \Rightarrow9\text{ }\sqrt[]{2} \end{gathered}[/tex]