sqrt(3)cuberoot(2)
\(\sqrt[2]{3}\cdot\sqrt[3]{2}\ =\ 3^{\frac12}\cdot2^{\frac13}\ =\ 3^{\frac36}\cdot2^{\frac26}\ =\ (3^3\cdot2^2)^{\frac16}\ =\ (27\cdot4)^{\frac16}\ =\ (108)^{\frac16}\ =\ \sqrt[6]{108}\)
√3 *∛2 =
(3)^1/2 * (2)^(1/3) =
(3)^(3/6) * 2^(2/6) =
(3^3)^(1/6) * (2^2)^(1/6) =
(27)^(1/6) * (4)^(1/6) =
(27 * 4)^(1/6) =
(108)^(1/6) =
6√108