Because you're not doing anything with the $value0.
It should probably be something like:
$room = '';
foreach ($_POST['other_room'] as $value0){
$room .= $value0.',';
}
$room = substr($room, 0, -1); // Remove the last comma
Then you have a comma seperated value as your input in mySQL.
INSERT INTO residential_properties
VALUES ('', '$room', )
~Brett