вычислите[tex] \sqrt{ \frac{3}{2} } * \sqrt[3]{ \frac{3}{2} }* \sqrt[6]{96} [/tex]. Created by Asdeez. algebra-ru

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вычислите[tex] \sqrt{ \frac{3}{2} } * \sqrt[3]{ \frac{3}{2} }* \sqrt[6]{96} [/tex]

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NNNLLL54

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$\sqrt{ \frac{3}{2} } \cdot \sqrt[3]{ \frac{3}{2} } \cdot \sqrt[6]{96}= \sqrt[6]{\frac{3^3}{2^3}}\cdot \sqrt[6]{\frac{3^2}{2^2}} \cdot \sqrt[6]{16\cdot 6}= \sqrt[6]{\frac{3^5\cdot (2^5\cdot 3)}{2^5}}=\sqrt[6]{3^6}=3$

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