They require ponds to live safely. They build dams which create ponds. Then they build little mound houses out of sticks and mud in the middle of the pond. The house only has underwater entrances. They can cut trees down and float them into the pond, where it is safer to eat. They're mostly aquatic mammals.

Idk man, ask a beaver

They have been known to live in lakes, and when they do they dig dens under the shoreline.

The reason they don't like the sound of running water is the same reason we don't like to hear the sound of unexplained running water in our homes, it's a sign of a leak. The only difference is for them it's instinctual, and for us we understand the consequences of a leak in our home.

Well, they do live in a lake, they just have to build it.

I believe the way they build their burrows doesn't work well without the flooding part.

That's just quitter talk.

While working as engineers, beavers still can't afford to live in the city considering the high cost for housing.

Because they are dumbasses

That reminds me of this cute (or maybe sad) video: https://www.youtube.com/watch?v=-ImdlZtOU80

Baby animal studies focused on play are always so cool. Like bees appearantly will play with objects that have nothing to do with their survival.

We do the same thing I think. Kids will pile up or mess about with any stuff you give them whether they have a cultural understanding of it's use or not.

Here I was hoping you threw it into a river shouting 'dam it' for extra pun-ishment.

Covering the noise is covering the running water. Covering the running water creates a dam. Creating a dam creates a pond. Creating a pond provides them with a nice controlled environment in which to build a lodge with an underwater entrance for protection from predators.

Running water means you can block it off to create a reservoir. Evolution isn't about what makes sense, it's about what works, logic be damned.

Dams

https://www.mentalfloss.com/article/67662/sound-running-water-puts-beavers-mood-build