Samantha
Google
You do not need to buy an overpriced ticket to see this minaret ;)
They will try and firmly suggest otherwise at some of the gates (East and West), however the ticket covers entrance into the sites, not the city itself, including the street where you can walk around the minaret. To avoid a confrontation, if you're not going inside the sites and just want to wander the streets, enter the other gates at sunrise or sunset for a magical experience without the touts and large tour groups ;)
If you're on the fence of coming here (Khiva in general), if time is not a concern, it was cute to see, but if pressed for time, I would avoid as it's the most touristy and least "authentic" of any site we've been to in central Asia, let alone Uzbekistan.