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The sum of all the coefficients in the binomial expansion of `(1+2x)^n` is 6561. Let `R=(1+2x)^n=1+F`, where `1 in N` and `0 lt F lt 1`. IF `x=1/sqrt2` then `1-F/(1+(sqrt2-1)^4)`=

A

`(3sqrt2-4)`

B

`4(3sqrt2+4)`

C

`(sqrt2-1)^4`

D

1

Text Solution

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The correct Answer is:
C
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