A drying apparatus that is capable of effectively removing foreign substances, such as dead mite bodies and dust adhered to bedding, a washing machine having the drying apparatus, and a method of controlling the drying apparatus. When bedding having a large volume, such as a blanket or a cover, is washed, a bedding-dusting operation using rotation of a drum and high-temperature hot air is performed before and after a bedding washing course is performed, so that foreign substances, such as dead mite bodies or dust, are dusted off bedding and the effects of washing bedding can be improved. In addition, a section in which the bedding-dusting operation is to be performed, is automatically or manually selected as before bedding washing or after bedding washing so that various operations can be performed and the effects of washing bedding can be improved.