Hi
Why in the first one does ‘to’ come after ‘off’, but in the second one it does not?
1. I'm going to take/have some time off to work on my house.
2. Can't you ask for another day off work?
We ask our employer for a day off work, or simply We ask our employer for a day off . Here. the word 'work' is assumed.
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We ask our employer for a day off work,
or simply
We ask our employer for a day off. Here. the word 'work' is assumed.
In #1, the word 'to' means 'in order to'.
ie I'm going to take/have some time off [ in order to work on my house. ]
In (1), "work" is a verb. "to" means "in order to", i.e. "to work on my house" is the reason for taking time off.
In (2), "work" is noun. It is the object of the preposition "off". "off work" means away from work, normally either on holiday or ill.