Question 18
Let $O$ be the origin, $A_1,A_2,\ldots$ distinct points on $y=\sqrt{x}$ and $B_1,B_2,\ldots$ points on the positive $x$-axis. Triangles $OB_1A_1$, $B_1B_2A_2$, $B_2B_3A_3$, etc. are equilateral with side lengths $l_1,l_2,l_3,\ldots$. Find $l_1+l_2+\cdots+l_{300}$.