Cue-dependent forgetting is when our brains have a hard time remembering something unless we are given a specific cue to help us remember. It's like trying to find your favorite toy in a big toy chest without any clues, but if someone tells you to look for something that's blue and has wheels, it becomes a lot easier.
In our brains, memories are like little puzzle pieces that fit together to make a bigger picture. Sometimes, when we forget something, it's because one of those little puzzle pieces can't find its place in the picture. But if we are given a clue or cue, it can help that puzzle piece find its spot in the bigger picture, and then we can remember whatever it is we forgot.
For example, let's say you're trying to remember a phone number. If you try to remember it on your own, it might be really hard to recall all the digits in the right order. But if someone prompts you by saying, "What was the number for the pizza place we called last night?" then you might instantly remember the number, because the clue helped your brain put all the puzzle pieces in the right place.
So, just like finding your toys or remembering a phone number, when we have trouble remembering something, sometimes we just need a clue or cue to help us remember.