If R = (sqrt(2) + 1)^(2n+1) and f = R - ...

If R = `(sqrt(2) + 1)^(2n+1) and f = R - [R]`, where [ ]
denote the greatest integer function, then [R] equal

A

`f+1/f`

B

`f-1/f`

C

`1/f-f`

D

None of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Let R = (sqrt2+1)^(2n+1),ninN and f= R- [R], where [] denote the greatest integer function, Rf is equal to

Let R=(2+sqrt(3))^(2n) and f=R-[R] where [ denotes the greatest integer function,then R(1-f) is equal to

If [ ] denotes the greatest integer function, then [( sqrt2 + 1)^(6)) is equal

Let R=(5sqrt(5)+11)^(2n+1) and f=R-[R] where [1 denotes the greatest integer function,prove that Rf=4^(n+1)

If f(x) = [x] - [x/4], x in R where [x] denotes the greatest integer function, then

If (6sqrt(6)+14 )^(2n+1) = [N]+F and F=N -[N] , where [.] denotes greatest interger function then NF is equal to

Solve in R: x^2+ 2[x] = 3x where [.] denotes greatest integer function.

If p=(8+3sqrt(7))^n a n df=p-[p],w h e r e[dot] denotes the greatest integer function, then the value of p(1-f) is equal to a.1 b. 2 c. 2^n d. 2^(2n)