Step 1: Remember what fiber is.
Dietary fiber is plant carbohydrate that human digestive enzymes cannot break down, so it travels intact from the small intestine into the colon.
Step 2: Bring in the colonic bacteria.
Once fiber reaches the colon, resident bacteria ferment it in a low-oxygen environment. This fermentation splits fiber into short-chain fatty acids, chiefly acetate, propionate, and butyrate.
Step 3: See why butyrate stands out.
Among these, butyrate is absorbed straight by the colon lining cells and burned as their preferred energy source, ahead of glucose. This is why a fiber-rich diet is often linked to a healthier colon lining.
Step 4: Eliminate the distractors.
Glycerol comes from breaking down fats, sucrose is a dietary sugar absorbed earlier in the gut, and free radicals are oxidative byproducts, none of which is the direct output of bacterial fiber fermentation.
Step 5: Conclude.
$\boxed{\text{Butyrates}}$