How does liquid dish soap make food coloring in milk expand?

Dish soap causes the formation of micelles, which are spherical structures with a hydrophobic core and a hydrophilic outer shell. The hydrophobic cores of the micelles attract the non-polar tails of the food coloring molecules, causing them to dissolve and form a colored solution. As more dish soap is added, the concentration of micelles increases and more food coloring molecules are incorporated into the micelles. This causes the micelles to grow in size and expand the volume of the solution, resulting in the food coloring in the milk expanding.