Why does it take more energy to produce hydrogen from water than to produce steam from water?

Because with steam your just raising the heat to change the state of matter but turning it to hydrogen and oxygen means separating the molecule into individual atoms

Armando has the right idea... but to clarify

liquid water to steam is a physical change. It involves breaking "intermolecular" forces of attraction. Forces between molecules that is.

liquid water to H2 + O2 is a chemical change. It involves breaking "intramolecular" forces. Forces within a molecule

forces "between" molecules are always lower energy than forces "within" molecules. And we call those forces within molecules chemical bonds btw.

Since the bonds between molecules are lower energy than the bonds within a molecule, it takes more energy to make H2 from H2O, than H2O(g) from H2O(l).