If \( n \) is a positive integer and \( (3 \sqrt{3}+5)^{2 n+1}=\alp... VIDEO
If \( n \) is a positive integer and \( (3 \sqrt{3}+5)^{2 n+1}=\alpha+\beta \),
\( \mathrm{P} \) where \( \alpha \) is an integer and \( 0\beta1 \), then
\( \mathrm{W} \)
(a) \( \alpha \) is an even integer
(b) \( (\alpha+\beta)^{2} \) is divisible by \( 2^{2 n+1} \)
(c) the integer just below \( (3 \sqrt{3}+5)^{2 n+1} \) divisible by 3
(d) \( \alpha \) is divisible by 10
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