Resposta :
Seja [tex]\text{x}=\sqrt{75}+\dfrac{1}{\sqrt{3}}+\dfrac{2\sqrt{3}}{3}[/tex]
Observe que:
[tex]\sqrt{75}=\sqrt{3\cdot5^2}=5\sqrt{3}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{\sqrt{3}}{3}[/tex]
Logo:
[tex]\text{x}=5\sqrt{3}+\dfrac{\sqrt{3}}{3}+\dfrac{2\sqrt{3}}{3}=\dfrac{15\sqrt{3}+\sqrt{3}+2\sqrt{3}}{3}=\dfrac{18\sqrt{3}}{3}=6\sqrt{3}[/tex]