Question 24
If $a$ and $b$ are positive real numbers and each of the equations $$
\begin{aligned} x^2+ax+2b&=0,\\ x^2+2bx+a&=0 \end{aligned}
$$ has real roots, then the smallest possible value of $a+b$ is
\begin{aligned} x^2+ax+2b&=0,\\ x^2+2bx+a&=0 \end{aligned}
$$ has real roots, then the smallest possible value of $a+b$ is