Question

simplifique o radical ⁴√3888
conta completa ​

Answer 1

$\large\boxed{\begin{array}{l}\begin{array}{c|l}\sf3888&\sf2\\\sf1944&\sf2\\\sf972&\sf2\\\sf486&\sf2\\\sf243&\sf3\\\sf81&\sf3\\\sf27&\sf3\\\sf9&\sf3\\\sf3&\sf3\\\sf1\end{array}\\\sf 3888=2^4\cdot3^4\cdot3\\\sf\sqrt[\sf4]{\sf3888}=\sqrt[\sf4]{\sf2^{\backslash\!\!\!4}\cdot3^{\backslash\!\!\!4}\cdot3}\\\sf\sqrt[\sf4]{\sf3888}=2\cdot3\sqrt[\sf4]{3}\\\sf\sqrt[\sf4]{\sf3888}=6\sqrt[\sf4]{\sf3}\end{array}}$

Answer 2

Oie, tudo bom?

$= \sqrt[4]{3888}$

$= \sqrt[4]{6 {}^{4} \: . \: 3}$

$= \sqrt[4]{6 {}^{4} } \sqrt[4]{3}$

$\boxed{ = 6 \sqrt[4]{3} }$

Att. NLE Top Shotta