Okay. Cut the leaves at the base of the leaf? Or base of the stem? Cutting them at the stem has not worked for me. Or I've read breaking the leaf off by hand is supposed to work too?
This is what I think you have:
This is where I got the pic from - you should skim around the whole blog: aquariumalgae.blogspot.com
I think you have fuzzy algae on your Sword in the picture. I think it's there because the Sword isn't growing at full capacity. From what I've read, there must be a balance between all elements of your aquatic environment - enough light, nutrients for that level of light, and on... If you can clear up the problem creating the algae, the plant will grow better and out-perform the algae, which will go away. Check out the aquariumalgae.blogspot.com.