There are two different issues here:

#1. Kill all the algae, including any on surfaces or in piles on the bottom. High chlorine is ESSENTIAL for that.

#2. Filter the DEAD algae, out. Bleach doesn't help with that, at all. Polyquat -- the ONLY algaecide we recommend -- will help, because it's also a very good clarifier. Cal hypo can, but ONLY if have a sand filter and ONLY if you use it just the right way. Regular foamy algaecides may actually make the cloudiness WORSE.