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