What is the best way to learn Sanskrit on your own?

Sanskrit is a language that belongs to the Indo-Aryan group and is the root of many, but not all Indian languages. Make your basics strong and clear, to progressively build up the skills. The best resources for learning any language is speaking and listening to the language as much as possible. Start taking professional classes at Sanskrit University. Learn the rules of grammar, Ashtadhyayi and go on to learn shlokas from Amara Kosha. Without that, no matter how much you dedicate yourself to the language, you will have to rely on translations of epics, Puranas, Vedas etc. If you know the grammar, you can literally read Puranas like you read storybooks. First of all, Sanskrit is not a hard language, at least compared to other foreign languages. Learning Sanskrit is easy and beautiful.

• You can build your vocabulary with these things, Start to read short stories and note unknown words in a book and find out the meaning with the help of a dictionary. Learn words as much as you can (at least five words per day). Try to write small sentences with those words.
• You just need a good teacher and a constant practice of Sanskrit, with that it will take you only a year to learn Sanskrit decently. Absolutely! With precise and solid grammar rules, the Sanskrit language is comparatively quite easy to learn. All you need is devotion and commitment towards the language and in no time you’ll be able to understand and speak the Sanskrit language. 
•  The best resources for learning any language is speaking and listening to the language as much as possible. What we can do is first learn the basics from Sanskrit Bharati or Bhartiya Vidya Bhavan and start speaking the basic language. 
• Youtube is one of the most effective ways to learn Sanskrit is the revered guru-shishya tradition in Vedic learning, also known as the ‘shruti’ tradition which essentially means learning by listening to one’s guru.
• In this age of apps on demand, there is an easy way to learn with apps that can teach you Sanskrit. So many youtube videos of Sanskrit grammar, words and pronunciation help you a lot.
•  It is possible if you prepare your mind to learn Sanskrit, you have to give time on a daily basis. There are many resources to learn Sanskrit online. 
• Start with the basics. You can’t directly jump into the grammar books. Sanskrit is not hard, or not difficult. only you have to start with your basics and you will learn Sanskrit.
•  Managing your time, how much time you are giving to a language to learn also matters, so if you want to learn fast you have to give time. For memorizing the words you have to practice daily. always go with good material. Knowledge of Sanskrit is highly respected by the academic community. 
• Increasing demand for Sanskrit scholars in Germany, there are so many advantages to learning Sanskrit. Sanskrit is the best language for artificial intelligence and it also helps you in disclosing the hidden gems in Indian Vedic scripts. 
• Sanskrit is incredibly easy to learn. A lot of Indian languages like Hindi, Punjabi share root words with Sanskrit. 

So, you can learn Sanskrit on your own, to improve your Sanskrit, follow the steps and check out multibhashi to make it easier.  

https://classes.multibhashi.com/courses/live-Sanskrit-classes-online