# How do I plot the solutions of an equation of a 3D Plot?

I want to plot all possible solutions for sqrt(|x||y|) = 2 into my plot as a line. My code for the plot currently looks like this

\documentclass{article}

\usepackage{pgfplots}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}

\begin{axis}[ view={20}{45}]

domain=0:10,
domain y = 0:10,
samples = 30,
%samples y = 80,
mesh] {sqrt(abs(x) * abs(y))};

\end{axis}

\end{tikzpicture}

\end{document}


For the 3D plot, which looks like this

How do I highlight all coordinates, which fulfill the equation? Moreover, is it possible to remove the little offset in z direction so that the graph is staying directly on the ground?

• Welcome to TeX.SX! Please make your code compilable (if possible), or at least complete it with \documentclass{...}, the required \usepackage's, \begin{document}, and \end{document}. That may seem tedious to you, but think of the extra work it represents for TeX.SX users willing to give you a hand. Help them help you: remove that one hurdle between you and a solution to your problem. Jun 18 at 20:24
• thank you! I hope its better now Jun 18 at 20:28

\documentclass[tikz, border=1cm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
\begin{tikzpicture}
\begin{axis}[view={10}{45}, zmin=0]