Only the American editions of the book illustrations portrayed him as having a goatee. The actual description from the books state
"Snape is described as a thin man with sallow skin, a large, hooked nose, and yellow, uneven teeth. He has shoulder-length, greasy black hair which frames his face, and cold, black eyes. He wears black, flowing robes which give him the appearance of "an overgrown bat". The youthful Snape had a "stringy, pallid look", being "round-shouldered yet angular", having a "twitchy" walk "that recalled a spider" and "long oily hair that jumped about his face"