Subtract 1119−−√−519−−√ .
To subtract $\sqrt{1119}$ and $\sqrt{519}$, we can write $1119 = 3\cdot 373$ and $519 = 3 \cdot 173$ to see if there are any square factors. Indeed, $\sqrt{1119} = \sqrt{3\cdot 373} = \sqrt{3} \cdot \sqrt{373}$ and $\sqrt{519} = \sqrt{3\cdot 173} = \sqrt{3} \cdot \sqrt{173}$.
This means $\sqrt{1119} - \sqrt{519} = \sqrt{3} \cdot \sqrt{373} - \sqrt{3} \cdot \sqrt{173} = \sqrt{3}(\sqrt{373} - \sqrt{173})$. Since we are subtracting two positive square roots, we know $\sqrt{373} > \sqrt{173}$, so $\sqrt{373} - \sqrt{173} > 0$.
We have $\sqrt{3} \cdot (\sqrt{373} - \sqrt{173}) = \boxed{\sqrt{3}( \sqrt{373} - \sqrt{173})}$. This is the simplified expression.