参考答案：(that)we(should)take care of/look after the patient by turns/(that)we(should)take turns(in)looking/to look after the patient

解析：[详细解答] 表示“命令”“建议”或“要求”的动词及相应的名词,如：direct, order, command, require, ask, request, demand, insist, suggest, recommend等后的从句中要用should加动词原形的虚拟语气形式。轮流做某事可译为do sth. by turns/take turns(in)doing sth./ take turns to do sth.又如： The students were taking turns reading aloud.学生正在轮流大声朗读。