user24309: Is an endgame with Queen and King vs. two Rooks and King a win for the Queen, a win for the two Rooks, or a draw?

user2494: As ever, it depends.
In general,  given adequate king shelter, the rooks have good chances when there are targets to coordinate against.

user7297: Generally speaking, it's a draw. Most pawnless endgames are drawn, unless one side has a material advantage of more than a minor piece. Either side can win if there are short-term tactics. To check the outcome of a position, you can use an online tablebase. In particular, it's nice to view the longest wins for either side, which are (according to this page) are
[FEN "k2q4/7R/8/8/8/8/8/2K3R1 w - - 0 1"]

(White to move, mate in 29)
and
[FEN "4r3/8/5Q2/8/5r2/1k6/8/1K6 w - - 0 1"]

(White to move, mate in 49)

24309: <p>Is an endgame with Queen and King vs. two Rooks and King a win for the Queen, a win for the two Rooks, or a draw?</p>
 2494: <p>As ever, it depends.</p>
<p>In general,  given adequate king shelter, the rooks have good chances when there are targets to coordinate against.</p>
 7297: <p>Generally speaking, it's a draw. Most pawnless endgames are drawn, unless one side has a material advantage of more than a minor piece. Either side can win if there are short-term tactics. To check the outcome of a position, you can use an <a href="https://syzygy-tables.info/" rel="noreferrer">online tablebase</a>. In particular, it's nice to view the longest wins for either side, which are (according to <a href="http://kirill-kryukov.com/chess/longest-checkmates/longest-checkmates.shtml" rel="noreferrer">this page</a>) are</p>
<pre><code>[FEN &quot;k2q4/7R/8/8/8/8/8/2K3R1 w - - 0 1&quot;]
</code></pre>
<p>(<a href="https://syzygy-tables.info/?fen=k2q4/7R/8/8/8/8/8/2K3R1_w_-_-_0_1" rel="noreferrer">White to move</a>, mate in 29)</p>
<p>and</p>
<pre><code>[FEN &quot;4r3/8/5Q2/8/5r2/1k6/8/1K6 w - - 0 1&quot;]
</code></pre>
<p>(<a href="https://syzygy-tables.info/?fen=4r3/8/5Q2/8/5r2/1k6/8/1K6_w_-_-_0_1" rel="noreferrer">White to move</a>, mate in 49)</p>
