Question

Como resolvo essa fração?
$\frac{ \frac{1}{ \sqrt{3} } }{ \frac{1}{ \sqrt[4]{3} } }$

Answer 1

$\frac{ \frac{1}{ \sqrt{3} } }{ \frac{1}{ \sqrt[4]{3} } } = \frac{1}{ \sqrt{3} } . \frac{ \sqrt[4]{3} }{1} =\ \textgreater \ \frac{ \sqrt[4]{3} }{ \sqrt{3} } =\ \textgreater \ \frac{ \sqrt[4]{3} }{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } =\ \textgreater \ \frac{ \sqrt[4]{ 3^{3} } }{3} = \frac{ \sqrt[4]{27} }{3}$

Obs: $\sqrt[4]{ 3^{1} } . \sqrt[2]{ 3^{1} } =\ \textgreater \ 3^{ \frac{1}{4} } . 3^{ \frac{1}{2} =\ \textgreater \ 3^{ \frac{6}{8} } =\ \textgreater \ 3^{ \frac{3}{4} } =\ \textgreater \ \sqrt[4]{ 3^{3} }$