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Sandhi in Sanskrit

Sandhi is when two words join and some letter are modified in the process - a crude definition. e.g., गज​+आनन = गजानन​ So when अ is placed with आ, it becomes आ. This is just one type of Sandhi - incidentally called Savarna deergha sandhi.(सवर्ण दीर्घ् सन्धि) There are others as well (more difficult ones) सवर्ण दीर्घ् सन्धि When  अ इ उ or ऋ are followed by same vowel or long vowel of same type, then in place of these two vowels, one long vowel is substituted. ( savarna - same type  deergha - long) Let us look at more examples. गिरि + इन्द्र  = गिरीन्द्र वधु+ उक्ति = वधूक्ति एव + अयम् = अवायम् कटु + उक्ति = कटूक्ति  सुख + आसनम् = सुखासनम्  सिन्धु + उदकम् = सिन्धूदकम्  Guna sandhi -  गुण सन्धि When अ /आ vowels are followed by इ/ ई, they are substituted by a single ए vowel, when  अ /आ vowels are followed by उ /ऊ, they are substituted by a single ओ vowel  and when   अ /आ vowels are followed by ऋ / ॠ, they are substituted by  अर्  राज + ईश्वरि =