which one is correct I will be on leave starting on October 4th till ...
The 4th is next to last or last but one (penultimate). The 3rd is second from (or to) last or last but two (antepenultimate). The 2nd, is third from (or to) last or last but three. According to Google Ngram Viewer there are some occurrences of preantepenultimate in the corpus. As for dialect, you will rarely see the Latin forms other than ultimate except in discussion of the language Latin or ...
In English, Wikipedia says these started out as superscripts: 1 st, 2 nd, 3 rd, 4 th, but during the 20 th century they migrated to the baseline: 1st, 2nd, 3rd, 4th. So the practice started during the Roman empire, and probably was continuously used since then in the Romance languages. I don't know when it was adopted in English.
In a business letter, what's the correct or more frequent way to write date ranges? from the 4th to the 8th of June 2014, we have been working on the project or from 4 to 8 June 2014, we hav...
Here is something I was able to discover on the internet the prime time I confronted the same predicament as you. 1st = primary 2nd = secondary 3rd = tertiary 4th = quaternary 5th = quinary 6th = senary 7th = septenary 8th = octonary 9th = nonary 10th = denary 12th = duodenary 20th = vigenary. These come from the Latin roots. The -n- ones come as well from Latin but this time are distributive ...
Your propositions are all correct. "4th root of five" can be read as "quad root of five", but 4-th root is no way incorrect and both ways are interchangeable. Similarly "fifth root" and "quintic root" are both acceptable. When you get to say 6th root people would understand it easier if you read "sixth root" than "hex root". This ought to answer your question on x√2 as well, with generalised ...