Is it safe to eat canned beets with partial roots attached and black spots?

It's generally not safe to eat canned beets with partial roots attached and black spots. The presence of black spots could indicate spoilage or mold, which may pose health risks. If the can is damaged or the beets have an off smell or unusual texture, it's best to err on the side of caution and discard them. Always inspect canned goods for signs of spoilage before consumption.