Question

simplifique os radicais e efetue as operações

$\sqrt[3]{3} + 2 \sqrt[3]{24} - \sqrt[3]{192} =$
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Answer 1

$\Large\boxed{\begin{array}{l}\sf\sqrt[\sf3]{\sf3}+2\sqrt[\sf3]{\sf24}-\sqrt[\sf3]{\sf192}\\\begin{array}{c|c}\sf192&\sf2\\\sf96&\sf2\\\sf48&\sf2\\\sf24&\sf2\\\sf12&\sf2\\\sf6&\sf2\\\sf3&\sf3\\\sf1\end{array}\\\sf \sqrt[\sf3]{\sf3}+2\cdot\sqrt[\sf3]{\sf2^3\cdot3}-\sqrt[\sf3]{\sf2^3\cdot2^3\cdot3}\\\sf\sqrt[\sf3]{\sf3}+2\cdot2\sqrt[\sf3]{\sf3}-2\cdot2\sqrt[\sf3]{\sf3}\\\sf\sqrt[\sf3]{\sf3}+\diagup\!\!\!\!4\sqrt[\sf3]{\sf3}-\diagup\!\!\!\!4\sqrt[\sf3]{\sf3}=\sqrt[\sf3]{\sf3}\checkmark\end{array}}$