How can the Heisenberg formula be proven in simple terms?

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Can anyone prove, in layman terms (or as close an approximation to layman terms as is possible), why exactly ∆p ∆x ≥ h-bar /2 ?

Please explain every step in the deduction, and not just with formulae. I can't just take something for granted.

Thanks in advance.
 
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how can one proove anything in layman terms? :P

You can find the derivation in almost any QM-text book.
 
As simple as possible terms, then. I'll ask if I don't understand something.