Suppose we show any positive rational number with alphabet a string $S$ on $\{0,1,\#\}$ that $S=x_kx_{k-1}\dots x_1\#y_ky_{k-1}\dots y_1$ such that $x_i,y_i\in\{0,1\}$ show an rational number. How it's possible to show all rational numbers in interval $[\sqrt{2},\sqrt{7}]$ with context sensitive grammars?
According to this link, I know rational numbers between an interval are countable, but how we can conclude that, we can show all rational numbers in interval $[\sqrt{2},\sqrt{7}]$ by a context senstive langyage?