Blondierungen with reduced hair damage

The present application relates to a kit of parts (kit-of-parts) comprising at least two separately made-up container, wherein a first container (I) at least one oxidizing composition (A) containing hydrogen peroxide and a particular nonionic surfactant includes, and a second container ( II) at least one bleaching powder (B) containing a persulfate salt and one optionally hydrated SiO The funds available from permit cloudy and bleaches the human hair with reduced hair damage and reduced scalp irritation.