Question

simplifique os radicais ³√375 - ³√24 + ³√81 - ³√192

Answer 1

$\sqrt[3]{375} - \sqrt[3]{24} + \sqrt[3]{81} - \sqrt[3]{192} = \\ \\ \sqrt[3]{3.5^3} - \sqrt[3]{2^3.3} + \sqrt[3]{3^3.3} - \sqrt[3]{2^3.2^3.3} = \\ \\ 5 \sqrt[3]{3} -2 \sqrt[3]{3} +3 \sqrt[3]{3} -4 \sqrt[3]{3} = \\ \\ 8 \sqrt[3]{3} -6 \sqrt[3]{3} =\fbox{ 2 \sqrt[3]{3} }$