The Spanish word 'prescindible' (meaning 'dispensable' or 'that which can be done without') comes from the Latin roots 'prae-' (meaning 'before') and 'scindere' (meaning 'to cut' or 'to split'). These combined to form the Latin verb 'praescindere', meaning 'to separate beforehand'. This evolved into the Spanish verb 'prescindir' ('to do without'), and with the addition of the suffix '-ible' (meaning 'able to be'), formed 'prescindible' - literally 'able to be done without'.

The semantic evolution from 'cutting/separating beforehand' to 'doing without' makes intuitive sense - when you separate something from your life or activities, you are essentially doing without it.

Some related Spanish words include 'prescindir' (the verb meaning 'to do without'), which is more commonly used than the adjective form. You might hear phrases like 'podemos prescindir de esto' meaning 'we can do without this'.

The Latin root 'scindere' (to cut/split) is also the source of several English words. For example, 'rescind' (to cancel or revoke - literally to 'cut back'), and 'scissors' (cutting implements). While these words might seem quite different from 'prescindible', they all share the core meaning of cutting or separation.