Respostas

  • Usuário do Brainly
2013-05-31T11:26:08-03:00

Seja \text{x}=\sqrt{75}+\dfrac{1}{\sqrt{3}}+\dfrac{2\sqrt{3}}{3}

 

Observe que:

 

\sqrt{75}=\sqrt{3\cdot5^2}=5\sqrt{3}

 

\dfrac{1}{\sqrt{3}}=\dfrac{\sqrt{3}}{3}

 

Logo:

 

\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} 

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