Another puzzle

http://en.lichess.org/training/28382

After Q:g7 R:g7 R:g7 Kh8:

I do not see anything wrong with R:g6 first. That just makes mating sequence longer. In real game you wouldn't care in how many moves you win, if you win. Unrealistic. Needs fixing.

It's puzzle, not real game. Need to find the most short win.

Rxg6 just lets him out through g6. or what is your continuation? The other rook can't go to f7 as the Knight defends that. If you go back like Kh8 Rxg6+ Kh7 Rg7+now Ra7 doesn't work any more because of Kg6

Wow, it'd sure be nice if people could stop crying for a puzzle fix when they're clearly at fault of not analyzing the puzzle enough.

What are you talking about? that's stupid as hell. That's not my fault and I find this very offensive that no one is going to fix this. I am solving puzzles to improve at chess. Not to improve at puzzles. Well if lichess doesn't want to improve at their puzzles system what about removing feature itself and getting free server space for marathons and stuff? Because now chess-tempo's and chess.com's puzzle systems are WAY better.

To be fair there are some puzzles where this fault exists, and it doesn't occur on the other sites.