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Basic properties of radicals


\begin{array}{|c|c|} \hline 
\sqrt{a}\cdot\sqrt{b}=\sqrt{ab} & \frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}} \\\hline
a^{\frac{m}{n}}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m & (\sqrt a)^2=a \\\hline
a\sqrt b =\sqrt{a^2\cdot b} & \sqrt[m]{\sqrt[n]{a}}=a^{mn} \\\hline
a\sqrt b =\sqrt{a^2\cdot b} & \sqrt[m]{\sqrt[n]{a}}=a^{mn} \\\hline
\end{array}

Last time edited 2019-01-19

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