Give your rook a route

The a1-rook moves to the open d-file.

The rook can see along d2–d8 because no pawn or piece blocks that file. Before going farther, check which squares the opponent controls.

Black’s f8-rook faces White’s rook on d1.

An open file is not automatically yours. If both sides can enter it safely, exchanges or a change of plan may follow.

White captures on d8 with check.

This trade is a choice in the illustration, not a forced way to gain an advantage. Always account for the recapture before making a trade.

The a8-rook replaces its partner on d8.

Material is still equal. White’s remaining rook is on f1, so the question is where it can become useful.

The rook uses c1 as a route toward c7.

Changing files can matter more than stubbornly fighting over the same one. Check that the entry square is not defended before using it.

This reply leaves c7 available in our illustrative line.

Black could choose a different defence. The point is to examine the position that actually appears rather than assume a long plan must happen.

The rook attacks b7 and f7; the black king already protects f7.

This is activity, not a proved win. Black can protect b7 with Rb8 or create counterplay with Rd1+. White can answer that check with Kh2 because h3 already made an escape square. Without that escape, the same rook plan would allow back-rank mate.