There are several reasons why you should learn Sanskrit. Some serious and some not so much. But I would say you should learn Sanskrit because it is so much fun!
Apart from the fun, learning Sanskrit can also help you understand the etymology of a lot of words in Indian and non-Indian languages. It would also help you understand ancient Sanskrit texts, shlokas, and other Sanskrit words in their true context, with nothing getting lost in translation.
Sanskrit is also a very systematic and syntactic language and the grammar of the language servers as a master template for most Indian (and a few European) languages.
1.Sanskrit, earliest of the ancient languages.
There is sufficient evidence available today to say that Sanskrit is the oldest language of the world.
Among the current languages which possess a hoary antiquity like Latin or Greek, Sanskrit is the only language that has retained its pristine purity. It has maintained its structure and vocabulary even today as it was in the past.
The oldest literature of the world, the Vedas, the Puranas, and the Ithihasas which relate to the Indian subcontinent, are still available in the same form as they were known from the very beginning. There are many scholars in India who can interpret them today, much the same way great scholars of India did years ago. Such interpretation comes not by merely studying earlier known interpretations but through a steady process of assimilation of knowledge linking a variety of disciplines via Sanskrit.
2.Sanskrit is as modern as any language can be
Sanskrit is very much a spoken language today. Even now, as we enter the twenty first century, Sanskrit is spoken by an increasing number of people, thankfully many of them young. Among the learned in India, it continues to be a bridge across different states where people, in spite of their own mother tongue, use it to exchange scholarly and even general information relating to the traditions of the country. The News service offered by the Government of India through television and radio continues to feature daily Sanskrit program catering to local as well as international news.
The grammar of Sanskrit has attracted scholars the world over. It is very precise and upto date and remains well defined even today. Of late, several persons have expressed the opinion that Sanskrit is the best language for use with computers. The Samskritapriyah group does not subscribe to this view, however.
3.Sanskrit is a Scientist’s paradise
Sanskrit, the vocabulary of which is derived from root syllables, is ideal for coining new scientific and technological terms. The need to borrow words or special scientific terms does not arise.
From the very beginning, scientific principles have been hidden in the verses found in the Vedas, Upanishads and the great epics of India. Concepts and principles seen in present-day mathematics and astronomy, are all hidden in the compositions and treatises of many early scholars of the country. Some of these principles and concepts will be shown in the information section that will accompany the lessons.
4.Linguistics
The precise and extremely well-defined structure of Sanskrit, coupled with its antiquity offers a number of areas in linguistics research including Computational Linguistics. Also, Sanskrit distinguishes itself in that it is the only known language that has a built-in scheme for pronunciation, word formation, and grammar.