I think the easiest way is to use tabularx.
Please note that multicol package is for having a document in two (or more) columns, it is not for \multicolumn in tables.
Please also observe that because I've set the width of the tabularx environment to equal \linewidth, the \centering instruction is no longer needed.
As egreg pointed out in his comment, if the table has no caption, a center environment suffices; if it has a caption, then table should not have the [H] option.
For more professional tables, use booktabs.
\documentclass[a4paper]{book}
\usepackage{tabularx}
\usepackage{ragged2e}
\usepackage{float}
\usepackage{caption}
\usepackage{booktabs}
\begin{document}
If your table is at a fixed position, you can use
\texttt{center} environment.
%\begin{table}[H]
\begin{center}
%%\centering %% not needed since width of tabularx env. = \linewidth
\begin{tabularx}{\linewidth}{|l|>{\RaggedRight}X|}
\hline
\multicolumn{1}{|c}{Compressible} & \multicolumn{1}{|c|}{Incompressible} \\ \hline
aaaaaaaaaaaaaaaaaaaaaaaa & bbbbbbb bbbbbbbbbbbbb bbbbbbbbbbb bbbbbbbbbbbbbbb bbbbbbbbbb bbbbbbbbbb bbbbbb \\
cccccccccccccccccccccccccccc & ddddddddddddddddddddddddddddd \\ \hline
\end{tabularx}
%\end{table}
\end{center}
If your table has a caption, the \texttt{[H]} option should not be used, because it can float.
Table \ref{tab:mytab} is an example
with \texttt{booktabs}.
\begin{table}[htb]
\caption{\label{tab:mytab}A professional table}
\begin{tabularx}{\linewidth}{l>{\RaggedRight}X}
\toprule
\multicolumn{1}{c}{Compressible} & \multicolumn{1}{c}{Incompressible} \\
\midrule
aaaaaaaaaaaaaaaaaaaaaaaa & bbbbbbb bbbbbbbbbbbbb bbbbbbbbbbb bbbbbbbbbbbbbbb bbbbbbbbbb bbbbbbbbbb bbbbbb \\
cccccccccccccccccccccccccccc & ddddddddddddddddddddddddddddd \\
\bottomrule
\end{tabularx}
\end{table}
\end{document}

\multicolumn{1}{c}{...}for the cells to be centered, see here for example: https://tex.stackexchange.com/questions/87596/center-only-heading-text-in-a-table – CarLaTeX Jan 25 '20 at 06:53lfor column specification, notp{...}, but it's impossible to help you without an MWE. https://topanswers.xyz/tex?q=606 – CarLaTeX Jan 25 '20 at 07:438ptis not a recognized option for thebookdocument class, and will thus get ignored. Thebookclass recognizes only three options regarding the main document font size:10pt,11pt, and12pt. You'll need a different class, or load a package that does its own font size calculations, if8ptis supposed to be the main font size for the entire document. – Mico Jan 25 '20 at 08:5310pt. – Mico Jan 25 '20 at 09:07