Resposta:
[tex]a) \frac{\sqrt[3]{\frac{6}{5} } }{\sqrt[3]{\frac{3}{20} } } = \sqrt[3]{\frac{6}{5} . \frac{20}{3} } = \sqrt[3]{\frac{120}{15} } = \sqrt[3]{8} = \sqrt[3]{2^{3} } = 2[/tex]
[tex]b) \sqrt[3]{\sqrt[5]{3^{3} } } = \sqrt[3 . 5]{3^{3} } = \sqrt[15]{3^{3} } = \sqrt[15:3]{3^{3:3} } = \sqrt[5]{3}[/tex]
[tex]c) 6\sqrt[3]{5} + 3\sqrt[3]{5} = (6 + 5)\sqrt[3]{5} = 11\sqrt[3]{5}[/tex]
Explicação passo a passo:
Copyright © 2025 ELIBRARY.TIPS - All rights reserved.
Lista de comentários
Resposta:
[tex]a) \frac{\sqrt[3]{\frac{6}{5} } }{\sqrt[3]{\frac{3}{20} } } = \sqrt[3]{\frac{6}{5} . \frac{20}{3} } = \sqrt[3]{\frac{120}{15} } = \sqrt[3]{8} = \sqrt[3]{2^{3} } = 2[/tex]
[tex]b) \sqrt[3]{\sqrt[5]{3^{3} } } = \sqrt[3 . 5]{3^{3} } = \sqrt[15]{3^{3} } = \sqrt[15:3]{3^{3:3} } = \sqrt[5]{3}[/tex]
[tex]c) 6\sqrt[3]{5} + 3\sqrt[3]{5} = (6 + 5)\sqrt[3]{5} = 11\sqrt[3]{5}[/tex]
Explicação passo a passo: