Final answer:
Ahmose I was the Egyptian pharaoh who drove the Hyksos from the Nile delta, marking the start of Egypt's New Kingdom.
Step-by-step explanation:
The Egyptian pharaoh who completed the task of driving the Hyksos from the Nile delta was Ahmose I. It was during the early part of his reign that Ahmose I launched a successful campaign against the Hyksos, finally defeating them and reasserting Egyptian power in Lower Egypt. This significant military victory led to the reunification of Egypt and marked the beginning of the New Kingdom, an era of Egyptian prosperity and power.