Final answer:
Electrolysis is the hair removal method that uses needles to destroy the hair papilla, while chemical depilatories break down hair proteins and do not destroy the papilla.
Step-by-step explanation:
The hair removal method that uses multiple needles to destroy and decompose the papilla is called electrolysis. Electrolysis involves inserting a fine needle into the hair follicle and applying an electric current to the follicular papilla. This electric current causes localized damage to the areas that generate hairs and eventually leads to the destruction of the hair's ability to grow, offering a more permanent solution compared to other hair removal methods such as shaving or chemical depilatories. It's important to note that the question seems to describe electrolysis; however, the information provided primarily pertains to chemical depilatories, which are a different method of hair removal and do not use needles.
Chemical depilatories, like those mentioned, use active ingredients such as salts of thioglycolic acid to break down the proteins in the hair. This process does not destroy the papilla. By using these chemicals, hair can be removed without the use of needles and is a form of depilation, not electrolysis.