If $A=\left[\begin{array}{lll}1 & 2 & 3 \\ 2 & 1 & 1 \\ 1 & 3 & 1\end{array}\right]$ and $B=\left[\begin{array}{lll}2 & 3 & 4 \\ 3 & 2 & 2 \\ 2 & 4 & 2\end{array}\right]$, then $\sqrt{|\operatorname{adj}(A B)|}=$