Resposta:
[tex]\frac{3\sqrt{6} }{8 }[/tex]
Explicação passo a passo:
[tex]\frac{\sqrt{3} }{2} : \frac{\sqrt{8} }{3}[/tex]
[tex]\frac{\sqrt{3} }{2} \times \frac{3}{\sqrt{8} }[/tex]
[tex]\frac{\sqrt{3} }{2} \times \frac{3}{\sqrt{(2^{2} \times 2)} }[/tex]
[tex]\frac{\sqrt{3} }{2} \times \frac{3}{\sqrt{2^{2}} \times \sqrt{2} }[/tex]
[tex]\frac{\sqrt{3} }{2} \times \frac{3}{2\sqrt{2} }[/tex]
[tex]\frac{\sqrt{3}\times 3 }{2\times 2\sqrt{2}}[/tex]
[tex]\frac{3\sqrt{3} }{4\sqrt{2}}[/tex]
[tex]\frac{3\sqrt{3}\times \sqrt{2} }{4\sqrt{2}\times \sqrt{2} }[/tex]
[tex]\frac{3\sqrt{3\times 2} }{4\times 2 }[/tex]
[tex]\frac{3\sqrt{6} }{8 }[/tex]
