If \( (8+3 \sqrt{7})^{n}=P+F \), where \( P \) is an integer and \( F \) is a proper fraction th....

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If \( (8+3 \sqrt{7})^{n}=P+F \), where \( P \) is an integer and \( F \) is
\( \mathrm{P} \)
a proper fraction then
W
(1) \( P \) is an odd integer
(2) \( P \) is an even integer
(3) \( F(P+F)=1 \)
(4) \( (1-F)(P+F)=1 \)



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