Q.What Could I Grow Under My Large Beech Tree?
I have a large beech tree pretty much in the middle of my lawn. The grass underneath is always a mess. Any ideas of what I could under it. Thought about paving under it and using it as a shady seating area but the roots are quite near the surface

Certified GKH Gardening Expert
The best thing you can put under a tree is mulch out to the dripline. Plants can disturb the surface roots of trees, can compete for water and nutrients, and if soil is heaped on the tree roots for a raised bed, can sound the death knell for the tree.
The concrete also would smother roots. Landscapers and homeowners do this often and if you feel you must, here are some tips:
https://www.gardeningknowhow.com/ornamental/trees/tgen/planting-garden-beneath-trees.htm