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I suspect it's your units - while Planck's Constant is around 6.6 x 10^-34 J s, it's only 4.13ish x 10^15 eV s. If your kinetic energy is measured in eV, that should be around what you'd get. Especially if you took kinetic energy as equal to the stopping voltage, in which case your energies...

Erp. Tripped up. Thanks. Just realised - my way does assume positive a,b,c, so your way's probably more rigorous. :P

a+b\geq 2\sqrt ab b+c\geq 2\sqrt bc a+c\geq 2\sqrt ac So multiplying these together gives: (a+b)(b+c)(c+a)\geq 8\sqrt (a^2 b^2 c^2) As required.