The pioneer squad went 500m east and 300m north to find a path and move.

The path will be:
500 m +300 m = 800 m
Moving is a straight line connecting the beginning and the end. By connecting, we get a right-angled triangle. Moving will be the hypotenuse. By the Pythagorean theorem, we find it:
displacement = root of 500 ^ 2 + 300 ^ 2 = root of 250,000 + 90,000 = root of 340,000 = 583.1 m
Answer: 800 m, 583.1 m