гайхах - гайхасхийн, мэхийх - мэхэсхийн, татах - татасхийн, инээмсэглэх - инээмсэглэсхийн... гайхах - to be surprised гайхасхийн - to be a bit surprised мэхийх - to bow мэхэсхийн - to bow a little тамхи татах - to smoke a cigarette тамхиа татан сууна - he/she sits smoking a cigarette тамхиа татасхийн сууна - literally: he sits smoking a cigarette (but I'd imagine he smokes inhaling little by little, or maybe inhales and then takes his to enjoy and then inhales again without hurry.. in slow motion) инээмсэглэх - to smile инээмсэглэсхийн - to smile, but it's not an American type of smile. Smiling slightly (?) Hmm... hard to explain, but hope you've got the meaning.

The base verb is "гайхах" (to be astonished, surprised). You asked about the "мэхэсхийн" in a previous post - the same case.