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8.1: Радикали
https://ukrayinska.libretexts.org/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0/%D0%9F%D0%BE%D1%87%D0%B0%D1%82%D0%BA%D0%BE%D0%B2%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0/08%3A_%D0%A0%D0%B0%D0%B4%D0%B8%D0%BA%D0%B0%D0%BB%D1%8C%D0%BD%D1%96_%D0%B2%D0%B8%D1%80%D0%B0%D0%B7%D0%B8_%D1%82%D0%B0_%D1%80%D1%96%D0%B2%D0%BD%D1%8F%D0%BD%D0%BD%D1%8F/8.01%3A_%D0%A0%D0%B0%D0%B4%D0%B8%D0%BA%D0%B0%D0%BB%D0%B8
\(\begin{aligned} \sqrt[3]{162} &=\sqrt[3]{3^{3} \cdot 3 \cdot 2} \qquad\quad\color{Cerulean}{Apply\:the\:product\:rule\:for\:radicals.} \\ &=\sqrt[3]{3^{3}} \cdot \sqrt[3]{3 \cdot 2} \quad\:\:\:\:\co... $\begin{aligned} \sqrt[3]{162} &=\sqrt[3]{3^{3} \cdot 3 \cdot 2} \qquad\quad\color{Cerulean}{Apply\:the\:product\:rule\:for\:radicals.} \\ &=\sqrt[3]{3^{3}} \cdot \sqrt[3]{3 \cdot 2} \quad\:\:\:\:\color{Cerulean}{Simplify.} \\ &=3 \cdot \sqrt[3]{6} \end{aligned}$