Verified answer

Resposta:

[tex]\Large \textsf{Leia abaixo}[/tex]

Explicação passo a passo:

[tex]\Large \text{$ \sf \dfrac{\sqrt{588}}{\sqrt{12} + \sqrt{75}} = \dfrac{\sqrt{2^2.3.7^2}}{\sqrt{2^2.3} + \sqrt{3.5^2}}$}[/tex]

[tex]\Large \text{$ \sf \dfrac{\sqrt{588}}{\sqrt{12} + \sqrt{75}} = \dfrac{14\sqrt{3}}{2\sqrt{3} + 5\sqrt{3}}$}[/tex]

[tex]\Large \text{$ \sf \dfrac{\sqrt{588}}{\sqrt{12} + \sqrt{75}} = \dfrac{14\sqrt{3}}{7\sqrt{3}}$}[/tex]

[tex]\Large \boxed{\boxed{\text{$ \sf \dfrac{\sqrt{588}}{\sqrt{12} + \sqrt{75}} = 2$}}}[/tex]