Question

qual o valor da expressão: raiz de 75 + 1/raiz de 3 + 2 raiz de 3/ 3 ? (por favor inclua o calculo)

Answer 1

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:

 

$\text{x}=5\sqrt{3}+\dfrac{\sqrt{3}}{3}+\dfrac{2\sqrt{3}}{3}=\dfrac{15\sqrt{3}+\sqrt{3}+2\sqrt{3}}{3}=\dfrac{18\sqrt{3}}{3}=6\sqrt{3}$