Extra inter-line spacing in a tabular environment

Question

I have a table that is typeset using a tabular environment. (I want to keep it in a tabular environment.) The contents of each row is an expression involving radicals. The inter-line spacing is inconsistent with other tables in my file and with the inter-line spacing of the text in my file. I seem to recall that the inter-line spacing should be 1.2 times the height of the current line or current row. Is that right?

\documentclass[10pt]{amsart}

\begin{document}

\noindent {\textbf{Example}} \vskip1.25mm
The following functions are increasing on the interval $[0, \, \infty)$. \vskip1.25mm
\noindent \hspace*{1em}
\begin{tabular}{r l}
i.)     &       \hspace*{-0.5em}$x^{2} + x$ \\
ii.)    &       \hspace*{-0.5em}$x^{3} + 2x^{2} + 3x - 7$ \\
iii.)   &       \hspace*{-0.5em}$x^{2} + \sqrt{x}$
\end{tabular}
\vskip0.25in

\noindent {\textbf{Example}} \vskip1.25mm
The following functions are increasing on the interval $[0, \, \infty)$. \vskip1.25mm
\noindent \hspace*{1em}
\begin{tabular}{r l}
i.)     &       \hspace*{-0.5em}$\sqrt{x^{2} + x}$ \\
ii.)    &       \hspace*{-0.5em}$\sqrt[\uproot{1} \leftroot{-1} 3]{x^{3} + 2x^{2} + 3x - 7}$ \\
iii.)   &       \hspace*{-0.5em}$(x^{2} + \sqrt{x}){\vphantom{x^{2} + \sqrt{x}}}^{3}$
\end{tabular}

\end{document}

Answer 1

With code below I was obtain:

\documentclass[10pt]{amsart}
    \usepackage{array}
\renewcommand\arraystretch{1.5}

\begin{document}
\noindent {\textbf{Example}} 

The following functions are increasing on the interval $[0, \, \infty)$. 

\begin{tabular}{r @{\ } >{$}l<{$}}
i.)     &       x^{2} + x \\
ii.)    &       x^{3} + 2x^{2} + 3x - 7 \\
iii.)   &       x^{2} + \sqrt{x}
\end{tabular}

\vskip0.25in
\noindent {\textbf{Example}} \vskip1.25mm
The following functions are increasing on the interval $[0, \, \infty)$. \vskip1.25mm

    \begin{tabular}{r @{\ } >{$}l<{$}}
i.)     &       \sqrt{x^{2} + x} \\
ii.)    &       \sqrt[\uproot{1} \leftroot{-1} 3]{x^{3} + 2x^{2} + 3x - 7} \\
iii.)   &       \bigl(x^{2} + \sqrt{x}\bigr)^{3}
    \end{tabular}
\end{document}

I simplify your MWE with goal to obtain more compact code. For distance between rows I use \renewcommand\arraystretch{1.5}.

Edit: If you like to increase distances between tavle rows, you can do this on two ways:

• by terminating table row by \\[<additional space>] (used in the first example below) as mentioned David Carlisle in his comment
• by help of macro \addlinespace from package booktabs (used in second example) which add (about) 3pt additional space between rows.

Code:

\documentclass[10pt]{amsart}
    \usepackage{array,booktabs}
\renewcommand\arraystretch{1.5}

\begin{document}
\noindent {\textbf{Example}}

The following functions are increasing on the interval $[0, \, \infty)$.

\medskip
    \begin{tabular}{r @{\ } >{$}l<{$}}
i.)     &       x^{2} + x \\
ii.)    &       x^{3} + 2x^{2} + 3x - 7 \\[8pt]
iii.)   &       x^{2} + \sqrt{x}
    \end{tabular}

\vskip0.25in
\noindent {\textbf{Example}} \vskip1.25mm
The following functions are increasing on the interval $[0, \, \infty)$. 

\medskip
    \begin{tabular}{r @{\ } >{$}l<{$}}
i.)     &       \sqrt{x^{2} + x} \\
ii.)    &       \sqrt[\uproot{1} \leftroot{-1} 3]{x^{3} + 2x^{2} + 3x - 7} \\
    \addlinespace
iii.)   &       \bigl(x^{2} + \sqrt{x}\bigr)^{3}
    \end{tabular}
\end{document}

What is better to use? Difficult to say. I usual use \addlinespace.