If you rationalize the denominator of $$\frac1{7\sqrt{5}-2\sqrt{3}}$$ then you will get $$\frac{r\sqrt{5}+s\sqrt{3}}{n}$$ where $r$, $s$, and $n$ are all positive integers (with no common factors).

$r =$

$s =$

$n =$
[NOTE: Your answers cannot be algebraic expressions.]