If no charging mild is seen then this might signify a difficulty with both your charging cable, the charging port it plugs into, or the system board.
Attempt switching to a unique charger (in the event you can borrow one from another person) to see if this resolves the problem. If that’s the case, you’ll have to purchase your self a brand new one.
If not, you’ll should get an expert to have a look at your Chromebook. If the issue lies with the charging port then this may normally get replaced. If it’s a difficulty with the system board then, except it’s beneath guarantee, it probably received’t be be value you changing it in comparison with simply getting a brand new Chromebook.
