CAT 2022 Slot 3 QA · Question 14

If $(3+2\sqrt{2})$ is a root of the equation $a{x}^2+bx+c=0$, and $(4+2\sqrt{3})$ is a root of the equation $a{y}^2+my+n=0$, where $a,b,c,m$ and $n$ are integers, then the value of $\left(\frac{b}{m}+\frac{c-2b}{n}\right)$ is