If you don't have a ton of rows, you can simply:
SELECT * FROM myTable ORDER BY RAND() LIMIT 3;
If you have many rows, this will get slow, but for smaller data sets it will work fine.
As Steve Michel mentions in his answer, this method can get very ugly for large tables. His suggestion is a good place to jump off from. If you know the approximate maximum integer PK on the table, you can do something like generating a random number between one and your max PK value, then grab random rows one at a time like:
$q="SELECT * FROM table WHERE id >= {$myRandomValue}";
$row = $db->fetchOne($q); //or whatever CI's interface to grab a single is like
Of course, if you need 3 random rows, you'll have three queries here, but as they're entirely on the PK, they'll be fast(er than randomizing the whole table).