What structure separates the contents of the nucleus from the cytoplasm

Nuclear Membrane separates the contents of nucleus from the cytoplasm.

Explanation:

Two nuclear membranes form a nuclear envelope that separates the nuclear contents from the cytoplasmic content of the cell.These run continuous with the endoplasmic reticulum  enclose a perinuclear space in between them.The nuclear membrane contain nuclear pore that control exit and entrance of molecules coming in and leaving the nucleus.

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explanation:

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