Simplify the following: \( \mathrm{P} \) \[ 4^{5 \log _{4 \sqrt{2}}...

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Simplify the following:
\( \mathrm{P} \)
\[
4^{5 \log _{4 \sqrt{2}}(3-\sqrt{6})-\log _{8}(\sqrt{3}-\sqrt{2})}
\]
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