Question

$\frac{1}{\sqrt{5} -\sqrt{2} } =?$

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{\dfrac{1}{\sqrt{5} - \sqrt{2}}}$

$\mathsf{\dfrac{1}{\sqrt{5} - \sqrt{2}} \times \dfrac{\sqrt{5} + \sqrt{2}}{\sqrt{5} + \sqrt{2}}}$

$\mathsf{\dfrac{\sqrt{5} + \sqrt{2}}{(\sqrt{5} - \sqrt{2}).(\sqrt{5} + \sqrt{2})}}$

$\mathsf{\dfrac{\sqrt{5} + \sqrt{2}}{(\sqrt{5})^2 - (\sqrt{2})^2}}$

$\mathsf{\dfrac{\sqrt{5} + \sqrt{2}}{5 - 2}}$

$\boxed{\boxed{\mathsf{\dfrac{\sqrt{5} + \sqrt{2}}{3}}}}$