You can scale then with \left\lvert and \right\rvert, just as with parentheses.
f_{3,2} = \left(\sqrt{13} - 2 - \left\lvert \frac{\sqrt{13}}{6} + 2
- 2\sqrt{7}\left(1 + \delta V\right) \right\rvert \right)/4
If you load the mathtools package, you can use a \DeclarePairedDelimiter command which simplifies scaling delimiters: writing \DeclarePairedDelimiter{\abs}{\lvert}{\rvert} defines two commands: \abs, which delimits its argument with \lvert and \rvert, and \abs*, which does the same, but scaling it automatically.
Here's what this would look like for your code.
% in preamble
\usepackage{mathtools}
\DeclarePairedDelimiter{\paren}{(}{)}
\DeclarePairedDelimiter{\abs}{\lvert}{\rvert}
% document
f_{3,2} = \paren*{\sqrt{13} - 2 - \abs*{\frac{\sqrt{13}}{6} + 2
- 2\sqrt{7}\paren*{1 + \delta V}}}/4
\DeclarePairedDelimiterto make\abs{}(i think it is even an example in the manual). It gives you a simpler interface to use. – daleif Nov 11 '15 at 19:36\lvertand\rvertindicate "spacing as a left delimiter" and "spacing as a right delimiter," respectively. I agree it's counterintuitive, but there are times where I want the correct spacing, but to not scale the delimiters, such as$\abs{A_j}$in text mode (if the delimiters scaled with the subscript, it would make the line too tall). So it's nice to have both options. – Arun Debray Nov 11 '15 at 19:43|-1|vs\lvert -1\rvertthen you will see the significance – daleif Nov 11 '15 at 19:58