(1)圆c的方程为ρ=2√5sinθ,即ρ^=2√5ρsinθ,∴x^2+y^2=2√5y.①(2)把l:x=3-(√2/2)t,y=√5+(√2/2)t,代入①,得9-3√2t+5+√10t+t^2=2√5[√5+t/√2],∴t^2-3√2t+4=0,△=(3√2)^2-16=2,点P在l上,对应于t=0,设A,B分别对应于t1,t2,则t1+t2=3√2,t1t2=4,∴t1,t2>0,∴|PA|+|PB|=t1+t2=3√2.