How does white win this endgame?

White can only win if it's Black's move here.. if it's whites move, the it's going to end as a stalemate

If it's white turn, you play Kf7 so you have opposition and your king can't take your pawn since it will be always protected by the king (creating a red carpet for the pawn) and then finish the game with a queen endgame. If it's blackturn you do the same with white when black plays Kh8, but usually as black Kg8 is played, then you must keep opposition once again and play Kg6 and after black turns play either Kf7 or Kh7, one of them that is possible

LikeBlueberry Does it look like this?

hello everybody

ez

Yes it is not easy, but moves can be found by the method of elimination, excluding those that are sure to stalemate

Kf7 is the right move

This is lesson number one (or maybe two) in elementary endings.

With a knight's pawn the king has to go to the other file to get rid of stalemate. So 1.Kf7 Kh8 2.Kg6 Kg8 3.Kh6 and the rest is easy stuff.

Kf7 and black cooked

its mate in 16 according to stockfish.

With the exception of when the pawn is a rook pawn, if king on the 6th and pawn on the fifth always beats a lone king. The only tricky situation is when it's a b or g pawn, In that case the win is still forced, but there is a stalemate trap to avoid,. #1 is a perfect example,

Now wonder people think it is so hard for white to win

You just push the pawn up no?

No lol

Kf7