# Basic properties of radicals

Get to know the roots of math with their basic properties and review some examples of using that.

First of all, there is a table of basic properties of radicals. With these properties you can solve many tasks included nth roots.

\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 \end{array}2020-11-29

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