Here are some downloads for various roots up to 10 million digits. These were calculated by myself.

Square roots

2root2-2-10000000.txt
3root2-3-10000000.txt
5root2-5-10000000.txt
6root2-6-10000000.txt
7root2-7-10000000.txt
8root2-8-10000000.txt
10root2-10-10000000.txt

Roots 3

2root3-2-10000000.txt
3root3-3-10000000.txt
4root3-4-10000000.txt
5root3-5-10000000.txt
6root3-6-10000000.txt
7root3-7-10000000.txt
9root3-9-10000000.txt
10root3-10-10000000.txt