Question

Efetue as operações com as raízes:
e) $\sqrt[3]{3}. \sqrt[4]{2}. \sqrt{5}=$


f)$\sqrt[3]{3}/ \sqrt{2}$

Esse traço é divisão galera.

Answer 1

e) $\sqrt[3]{3} . \sqrt[4]{2} . \sqrt{5} = 3^{ \frac{1}{3} } . 2^{ \frac{1}{4} } . 5^{ \frac{1}{2} }$ = $3^{ \frac{4}{12} } . 2^{ \frac{3}{12} } . 5^{ \frac{6}{12} }= \sqrt[12]{ 3^{4} . 2^{3} . 5^{6} } =\sqrt[12]{ 81 . 8 . 15625 } = \sqrt[12]{ 10125000 }$

f) $\frac{ \sqrt[3]{3} }{ \sqrt{2} } = \frac{ \sqrt[3]{3}. \sqrt{2} }{ \sqrt{2}. \sqrt{2} } = \frac{ \sqrt[6]{ 3^{2} }. \sqrt[6]{2^{3} } }{ 2 } = \frac{ \sqrt[6]{9.8} }{2} =\frac{ \sqrt[6]{72} }{2}$