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)`

Let P=(2+sqrt(3))^(5) and f=P-[P] where [P] denotes the greatest integer function.Find the value of ((f^(2))/(1-f))

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

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

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

Statement 1: If p is a prime number (p!=2), then [(2+sqrt(5))^p]-2^(p+1) is always divisible by p(w h e r e[dot] denotes the greatest integer function). Statement 2: if n prime, then ^n C_1,^n C_2,^n C_2 ,^n C_(n-1) must be divisible by ndot

show that [(sqrt(3) +1)^(2n)] + 1 is divisible by 2^(n+1) AA n in N , where [.] denote the greatest integer function .

Let N be the integer next above (sqrt3+1)^(2018) . The greatest integer ‘p’ such that (16)^(p) divides N is equal to: