rout out of some place
To force someone out of or away from some place or thing. The police commissioner directed the SWAT team to rout the protestors out of their encampment outside city hall. Our soldiers have finally managed to rout the enemy out the occupied city.
rout someone or something out of some place
and rout someone or something outto remove someone or something from some place by force. The soldiers routed the snipers out of the deserted buildings. They routed out the snipers.