When you think about it, Hebrew makes real distinctions between different ways of saying “I’m sorry”:
סליחה (slee-chah) comes from the root ס.ל.ח, “to forgive,” and it covers almost everything: from a heartfelt apology to a casual ‘excuse me’ on a crowded bus.
Compare that to להתנצל (leh-heet-nah-tsel), the actual word for “to apologize.” Its root נ.צ.ל also gives us הצלה (hah-tsah-lah), rescue, and ניצול (nee-tsohl), survivor — so to apologize this way is, in a sense, perhaps trying to save yourself.
מצטער (meets-tah-ehr), by contrast, is personal. Its root (צ.ע.ר) means sorrow, so saying “I’m sorry” this way is really saying “It grieves me” or “I feel sorrow about it.”
And then there’s סורי, the English word “sorry” borrowed wholesale and spoken constantly by Israelis. No root, no grief. Sometimes the best apology is the simplest.