Final answer:
The DNA within the nucleus is packaged in compact units called nucleosomes, which consist of DNA wrapped around histone proteins.
Step-by-step explanation:
Inside the nucleus, DNA is wound tightly around proteins and packaged in compact units called nucleosomes. Nucleosomes are the basic unit of DNA packing in eukaryotes. Within these structures, the DNA wraps around a core of histone proteins, resembling 'beads on a string'. This complex facilitates the compaction of DNA into the nucleus of the cell. The nucleosomes further fold into higher-order structures to form chromatin, which during cell division, condenses to form chromosomes.