根据题意得x,y为大于等于零的数.
∵√2012=2√503,
∴0+2√503=2√503,
2√503+0=2√503
√503+√503=2√503,
则有,x=0,y=2012,
x=503,y=503,
x=2012,y=0,
∴x+y=2012或1006