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I'm not sure how to ask but I hope you will understand.

Let's say we have such root: $m\sqrt[2] n$ or $2\sqrt[2]3$ So could you please tell me how to call m or 2 and n or 3 and how to say everything combined. I hope you understand what I am asking

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    @Templar: The number "inside" is sometimes called the "radicand"; so $n$ and $3$ in your examples would be the "radicands". Your $m$ and $2$, which are merely multiplying the result of the radical, are simply "factors". The $m$ in $\sqrt[m]{n}$ does not, as far as I am aware, have a specific name.2011-09-08

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The quantity inside the radical ("$\sqrt{\hspace{.1in}}$") is called the radicand. The quantity above the radical is called the index. I would call the quantity preceding the radical a coefficient, but that has nothing to do with the radical.