Resposta :

[tex]\frac{3\sqrt2}{5\sqrt3+4\sqrt2} \cdot \frac{5\sqrt3-4\sqrt2}{5\sqrt3-4\sqrt2}= [/tex]

 

[tex]\frac{3\sqrt2}{5\sqrt3+4\sqrt2} \cdot \frac{5\sqrt3-4\sqrt2}{5\sqrt3-4\sqrt2}=\frac{15\sqrt6-24}{75-32}=\frac{15\sqrt6-24}{43}[/tex] 

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