∛(1+√3)·6√(4-2√3) там 6 это корень 6-го степени. Помогите решить. Created by marifedelesh. algebra-ru

∛(1+√3)·6√(4-2√3) там 6 это корень 6-го степени. Помогите решить...

marifedelesh @marifedelesh

August 2021 1 25 Report

∛(1+√3)·6√(4-2√3) там 6 это корень 6-го степени. Помогите решить

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mukus13

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$\sqrt[3]{1+ \sqrt{3} } * \sqrt[6]{4-2 \sqrt{3} } = \sqrt[6]{(1+ \sqrt{3})^2 }* \sqrt[6]{4-2 \sqrt{3} } =$
$\sqrt[6]{(4+2 \sqrt{3}(4-2 \sqrt{3} ) )}= \sqrt[6]{16-12} = \sqrt[6]{4} = \sqrt[3]{2}$

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