Shorthanded AK Turn

[GTSamIAm]

Button is loose and aggressive postflop. BB is tight and passive. I have AKo in the SB.

Folds to button. Button calls. I raise. BB calls. Button calls.

Flop: Q82r

I check-call the button, while the BB folds.

Turn is a dud: 6

Should I just call down? If he has a pair, I'm way behind, and the pot odds are killing me.

[Vote4Pedro]

why didnt you bet out?

Bet the flop. Fold to a raise. If called, then I usually bet the turn again. UI on the riv, I sometimes bet/sometimes check depending on my reads.

[rafct]

Fold the turn, not a big pot to draw. If he is very loose and agressive sometimes you have the best hand, but you will have to pay turn and river unimproved to see that.

[GTSamIAm]

What's the point of betting?