if you say"你把房间搬走了吗？"that means you asked the other if they take the room to the other place,it's not a correct expression. if you want to ask "did you move away?", the common expression in Chinese is "你搬走了吗？"

应该是：你搬家了吗？

No. I guess that you're meaning "Did you move away from the room?" But the sentence “你把房间搬走了吗？”means "Did you move the room away?" The right sentence is 你从房间里搬走了吗？ 从 means from. OK...But the sentence is still not correct. In fact,there is a phrase to express what you want to mean. 搬家,means move the house to another place. So the right sentence is “你搬家了吗？” ...But now I feel a little confused. What does "house" mean?A building?Or a place where you live? The former,the sentence is nearly correct...but a little confusing.房间 means room,房子 means house.So,the exactly correct sentence is "你把房子搬走了吗？" The latter,the sentence is wrong,it should be “你搬家了吗？”.

Thanks so much

In Chinese,房间 means room,commonly,the room can't be moved.So maybe you want to say the house,房子.If so,he correct sentence is "你把房子搬走了吗？"