Question

Решить

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Answer 1

24

Пошаговое объяснение:

$\displaystyle\[\frac{{\sqrt{96}\cdot\sqrt[3]{{36}}}}{{\sqrt[6]{6}}}=\frac{{\sqrt{96}\cdot\sqrt[3]{{{6^2}}}}}{{\sqrt[6]{6}}}=\frac{{\sqrt{96}\cdot{6^{\frac{2}{3}}}}}{{{6^{\frac{1}{6}}}}}=\sqrt{96}\cdot{6^{\frac{2}{3}-\frac{1}{6}}}=\sqrt{96}\cdot{6^{\frac{1}{2}}}=\sqrt{96}\cdot\sqrt6=\sqrt{6*16}\cdot\sqrt6=4\sqrt6\cdot\sqrt6=4\cdot6=\boxed{24}\]$