Battle of Castles

Some of you chess enthusiasts may recognize this position from this problem from chess.com 's Tactics Trainer. So, this is not an original problem. :)

The strongest move is Rg2 (alternative moves are considered below). It forcefully deflects at least one of the rooks from defending the promotion squares f8 and h8 . A couple possible responses to Rg2 :

• If either rook captures your rook, one of your pawns can promote to a queen. The only way to prevent the other pawn from promoting is to capture the other pawn, after which the queen can fork the king and rook, leading to a theoretically won endgame of King + Queen vs. King + Rook.
• If either rook captures the pawn it attacks, we simply capture the unprotected rook that remains, and we will successfully promote on the next move. The only way to prevent this is for black to sacrifice his rook for the pawn, and we recapture with our rook, giving us an easy win with a King + Rook vs. King endgame.
• If Ra2+ is played, we simply play Rxa2 and black has no way to defend against both pawns, at least one of which will promote to a queen.
• If none of the above is played, we capture any rook which remains on the row corresponding to $y = 2$ .

It is a little harder to see that Rg2 is the only move which wins outright. Let us consider alternative white moves. If white promotes either pawn immediately, the promoted piece is captured by the black rook attacking it. If white then recaptures with his rook, then the remaining black rook captures the other white pawn, and we have a case of King + Rook vs. King + Rook, which is a draw.

If given the opportunity, black may play Kc6 (a strong response to many rook moves which are not Rg2 ), which comes with an immediate threat of 1. ... Ra2+ 2. Kb8 Rhb2+ 3. Kc8 Ra8# if white does not defend carefully. In addition, the black king is making way for the black rooks to further attack the white king. Ultimately, the black rooks will be able to control both pawns (note that only one black rook on the row $y = 8$ is sufficient to defend against both pawns).

Otherwise, if black is given the opportunity to capture one of the pawns while preventing the other one from promoting, the game will be drawn.

It is simple, by moving the rook to the square (7,2) you will force one of the black rooks to change their positions by either attacking your rook and in this case you can promote your pawn, OR black rooks could attack one of the pawns and in this case you can attack the another rook and defend your pawn at same moment.