Why was the great library of Alexandria important was it because it allowed residence of the city to borrow books for free or at a tractive brilliant scholars from around the ancient world or a demonstrated the wealth of Egypt under the ptolemies or it reflected the dominance of Helenistic culture

The great library of Alexandria was important for several reasons. Firstly, it attracted brilliant scholars from around the ancient world. The library housed an immense collection of knowledge, including books, scrolls, and manuscripts from a wide range of disciplines. This collection lured scholars, philosophers, and thinkers from various regions, creating a vibrant intellectual community that fostered the exchange of ideas and the advancement of knowledge.

Secondly, the library demonstrated the wealth of Egypt under the Ptolemies. The Ptolemaic dynasty, which ruled Egypt during this period, positioned Alexandria as a prominent cultural and intellectual center. Building and maintaining a library of such magnitude required significant financial resources, highlighting Egypt's prosperity and the Ptolemaic rulers' commitment to promoting education and learning.

Lastly, the great library reflected the dominance of Hellenistic culture. Established in the city founded by Alexander the Great, the library became one of the major hubs of Hellenistic civilization. The library's collection primarily consisted of Greek works, and it played a crucial role in spreading and preserving Greek culture, literature, philosophy, and science.

Therefore, all the options you mentioned have some truth to them, but the most accurate answer would be that the great library of Alexandria was important because it attracted brilliant scholars from around the ancient world, demonstrated the wealth of Egypt under the Ptolemies, and reflected the dominance of Hellenistic culture.