Rooting for 2.2.1:
1) Turn on your phone
2) Enable Debugging at Apliccations>Programming
3) Connect your phone into PC via cable
4) Launch Super One Click 2.3.3 (download here)
5) Click "Root"
6) Wait until the program will root your phone
7) When the process is complete turn off SOC and unplug your phone
8) Reboot
9) Now you have root!

Rooting for 2.3.3/2.3.4/2.3.5/2.3.6/2.3.7
1) Download attached file from here
     and copy it to your sdcard
2) Turn off your phone
3) Press POWER+HOME BUTTON
4) Select update from sdcard, select the file upd_1.zip
5) After the update completed - reboot
6) Now you have rooted S5830