Question

transforme em um unico radical, escrevendo o radicando na forma mais simples possivel

Answer 1

a) $\frac{\sqrt{20} }{\sqrt{24} }$

$\frac{\sqrt{5} }{\sqrt{6} }$

$\frac{\sqrt{5} \sqrt{6} }{\sqrt{6}\sqrt{6} }$

$\frac{\sqrt{30} }{6}$

b) $\frac{\sqrt[3]{10} }{\sqrt[3]{18} }$

$\frac{\sqrt[3]{5} }{\sqrt[3]{9} }$

$\frac{\sqrt[3]{5} }{\sqrt[3]{3^{2} } }$

$\frac{\sqrt[3]{5} \sqrt[3]{3} }{\sqrt[3]{3^{2} }\sqrt[3]{3} }$

$\frac{\sqrt[3]{15} }{3^{3} }$

$\frac{\sqrt[3]{15} }{3}$

c) $\frac{\sqrt[4]{30} }{\sqrt[4]{24} }$

$\frac{\sqrt[4]{5} }{\sqrt[4]{4} }$

$\frac{\sqrt[4]{5 } }{\sqrt{2} }$

$\frac{\sqrt[4]{5}\sqrt{2} }{\sqrt{2} \sqrt{2} }$

$\frac{\sqrt[4]{20} }{2}$

d) $\frac{\sqrt[5]{16} }{\sqrt[5]{20} }$

$\frac{\sqrt[5]{4} }{\sqrt[5]{5} }$

$\frac{\sqrt[5]{4}\sqrt[5]{5^{4} } }{\sqrt[5]{5}\sqrt[5]{5^{4} } }$

$\frac{\sqrt[5]{2500} }{5}$