• Matéria: Matemática
  • Autor: rafael8985073
  • Perguntado 3 anos atrás

simplifique os radicais e efetue as operações

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

Respostas

respondido por: CyberKirito
2

\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}}


rafael8985073: obrigado amigo◉‿◉
Perguntas similares