Answer
$\sqrt[6] {432}$
Work Step by Step
$\sqrt 3\sqrt[3] 4=3^{1/2}4^{1/3}=3^{3/6}4^{2/6}=(3^{3}4^{2})^{1/6}=\sqrt[6] {(3^{3}4^{2})}=\sqrt[6] {432}$
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