In plant cells, both the nucleus and chloroplasts are surrounded by their own membrane.

Option 1 is incorrect because it states that the nucleus does not need a membrane. This is not true, as the nucleus is surrounded by a nuclear membrane that separates it from the rest of the cell.

Option 2 is the correct answer. It states that both the nucleus and chloroplasts are surrounded separately by their own membrane. This is accurate, as both organelles have a double membrane structure that helps to protect and contain their contents.

Option 3 is incorrect because it suggests that the nucleus is surrounded by a membrane, but chloroplasts do not need one. This is not the case, as both organelles require a membrane for proper functioning.

Option 4 is also incorrect as it states that neither the nucleus nor the chloroplasts are surrounded by any membrane. This is inaccurate, as both organelles have clear membrane structures.

Overall, it is important to understand that both the nucleus and chloroplasts in plant cells have their own distinct membrane surrounding them.