Let \[R={{(5\sqrt{5}+11)}^{2n+1}}\] and \[f=R-[R]\], where [.] denotes the greatest integer function. The value of R.f is [IIT 1988]

Let \[R={{(5\sqrt{5}+11)}^{2n+1}}\] and \[f=R-[R]\], where [.] denotes

1.	Let \[R={{(5\sqrt{5}+11)}^{2n+1}}\] and \[f=R-[R]\], where [.] denotes the greatest integer function. The value of R.f is [IIT 1988]
A.	\[{{4}^{2n+1}}\]
B.	\[{{4}^{2n}}\]
C.	\[{{4}^{2n-1}}\]
D.	\[{{4}^{-2n}}\]
Answer» B. \[{{4}^{2n}}\]

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Let \[R={{(5\sqrt{5}+11)}^{2n+1}}\] and \[f=R-[R]\], where [.] denotes the greatest integer function. The value of R.f is [IIT 1988]

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