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The word sandhi (correctly spelled: saMdhi), in plain Sanskrit, means "joining".

In Sanskrit grammar jargon, sandhi means the changes of sound that happen when joining words.

In English grammar jargon, sandhi means the changes of sound that happen when joining words (see Wikipedia on Sandhi).

Example of sandhi in English.

If you say "iced ink" inside a sentence at normal talking speed, it is likely that you'll end up saying "I stink".

English grammarians say that the pronunciation "I stink" is incorrect and that we should always speak slowly and carefully to avoid it.

English grammarians also say that only the spelling "iced ink" is allowed, no matter how you say it.

Example of sandhi in Sanskrit.

If we make the words azvas and dravati into a sentence, at normal speed, we'll say azvodravati "horse runs".

Sanskrit grammarians say that the pronunciation "azvas dravati" is incorrect and that we must always say azvodravati.

Sanskrit custom says that we must always spell azvodravati, because that's what we actually say.