The given statement is True.

When dirt, grease, fat or oil in the clothes gets mixed with soapy water, then the soap molecules arrange themselves into a typical structure of tiny clusters called micelles. These soap micelles which are formed by soap, trap all the dirt and grease particles and lie on the surface of clothes. These micelles get detached from the surface of clothes once the clothes are washed with agitation and go into the water.

Hence, agitation is necessary to get the clothes clean.