The product
![\sqrt[3]{2} ( \sqrt[4]{2})( \sqrt[12]{32}) \sqrt[3]{2} ( \sqrt[4]{2})( \sqrt[12]{32})](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B2%7D+%28+%5Csqrt%5B4%5D%7B2%7D%29%28+%5Csqrt%5B12%5D%7B32%7D%29++)
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