When you mix an aqueous solution of table salt (NaCl) and silver nitrate (AgNO3), you get a precipitate of silver chloride (AgCl) and a solution of sodium nitrate (NaNO3).

Here's the chemical equation for the reaction:

NaCl(aq) + AgNO3(aq) → AgCl(s) + NaNO3(aq)

* AgCl is a white, insoluble solid that forms as a precipitate. This is why you see a cloudy appearance in the solution.

* NaNO3 remains dissolved in the solution as it is soluble in water.

This reaction is a classic example of a double displacement reaction, where the positive and negative ions of the reactants switch places. It's also a good example of a precipitation reaction, where an insoluble solid forms from the reaction of soluble reactants.