If an astronaut "fell" off the moon (by takin his boots off) why would he"drift" into space if the moon is held in orbit by earths gravity?

I am curious why you think taking his boots off would cause an astronaut to float off the moon.

I hope he has clean Socks

The Moon has its own gravity. There is a point 64000 km above the surface of the Moon in the direction of Earth where the gravitational pulls are balanced though. You cannot fall off the Moon any more than you could fall off the Earth.

Even if he took his boots off, he wouldn't 'fall off' the moon - not any more than you would fall off the Earth.

Yes, once, when I was a toddler I took off my boots whilst outside, not realizing what I was doing. Fortunately, I didn't weigh very much, so I was only drifting off slowly, giving my mom time to catch me before I got out of reach. Otherwise, I would still be in orbit. A close shave indeed - phew!

He wouldn't drift, boots or not. The moon has it's own gravity, about 1/6 that of earth but is more than enough to keep anything on the surface from drifting off.

What have the boots got to do with it? The Moon has its own gravity field, this has been known and measured for 300 years.

No astronaut can "fall off he moon by taking his boots off" 🙄

Because there is no gravity on the Moon itself.

"By taking his boots off"? Dude, the moon also has gravity and that's why they don't float away.

The astronaut wouldn't float away. They too would begin to orbit Earth.