QUICK ANSWER
Start with dock power, then clean the contacts.
iRobot’s charging guidance repeatedly identifies charging-contact maintenance and correct dock power as first-line checks before battery replacement.

INTERACTIVE DIAGNOSIS
Find why charging will not start
STEP 1 OF 2
Does the dock appear powered and connected to a working outlet?
Check the cable connection and base behavior before cleaning anything.
Stop before opening powered components
If clean contacts and verified dock power do not restore charging, use service instead of opening the dock electronics or battery enclosure.