washing-up liquid
dishwashing liquid
dishwashing soap
dish soap
dish detergent

You can use liquid hand soap or dish detergent.

His wife worried that it would remind people of dish detergent.

Why not use dish detergent to clean up an oil spill?

Adam cradled the phone on his shoulder, squirting dish detergent into the sink.

They also create crystals by doing the same experiment with dish detergent added to the water.

As for the dish detergent, I go back to my ignorance.

What it looked like was pearly-gray dish detergent.

For all its clarity, Gardener thought that liquid must be very gluey indeed, perhaps the consistency of dish detergent.

As he turned on the hot-water tap and got out the dish detergent, Hank abandoned the idea of going back to his garage.

Follow that treatment with a swish in hot water to which a bit of dish detergent has been added.