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When you calculated K for the redox reaction you were calculating [H+]2[F-]2/[HF]2 because the coefficients of the balanced redox reaction were 2 for H+, F-, and HF. However, Ka=[H+][F-]/[HF]. So, Ka=square root K.
Further, you cannot simply divide the reaction by two (to get a coefficient of 1 for everything), since the cell potential (E) would then be for a different equation (and you cannot simply divide the cell potential by two).
This post https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=140&t=5208&sid=957f918ef44ee42256ff93bb6ca39d69 explains that question as well.
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