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Are rechargeable AAA batteries safe for night goggle device?

I am planning to use rechargeable AAA batteries for my night goggle device which I built myself. The LEDs used are 3 mm each. This device runs well with two AAA Duracell batteries. But I want to switch it on with rechargeable AAA batteries. Is it possible? Or will I need more rechargeable AAA batteries instead of two? Which brand can I go for and will this switch be safe? Can somebody help me with some relevant solution to my query? Thanks.