Question

$\sqrt{3 { - }^{2} }$
​

Answer 1

Answer:

You can use \leftroot (for horizontal shifting), and/or \uproot (for vertical shifting) from the amsmath package; using \scriptstyle you can increase the size of the index (not sure if this is a good idea); preferable to use a superscript instead of the root:

\documentclass{article}

\usepackage{amsmath}

\begin{document}

\[

\sqrt[3]{\frac{a}{b}}\qquad \sqrt[\leftroot{-1}\uproot{2}\scriptstyle 3]{\frac{a}{b}}\qquad

\Bigl(\frac{a}{b}\Bigr)^{1/3}

\]

\end{document}

enter image description here

Answer 2

$\sqrt{3^{ - 2} } \\ \\ \sqrt{ \frac{1}{ {3}^{2} } } \\ \\ \frac{ \sqrt{1} }{ \sqrt{ {3}^{2} } } \\ \\ \frac{1}{3} \\ \\ {3}^{ - 1}$