A) 189
B) 180
C) 108
D) 198
Correct Answer: D
Solution :
\[\frac{1}{{{(3+2\sqrt{2})}^{3}}}+\frac{1}{{{(3-2\sqrt{2})}^{3}}}\] \[={{(3-2\sqrt{2})}^{3}}+{{(3+2\sqrt{2})}^{3}}\] \[=27-16\sqrt{2}-54\sqrt{2}+72+27+16\sqrt{2}+54\sqrt{2}+72\]\[=27+72+27+72=198\]You need to login to perform this action.
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