Question

$\sqrt{2( \sqrt{3} - 1) \div \sqrt{3} + 1 } \: and \: \sqrt{3 } = 1.73205$
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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}

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