[" If "1" is integral part of "(2+sqrt(3))^(n)" and "f" is "],[" its fractional part.Then "(I+f)(1-f)],[" is "]

If I is integral part of (2+sqrt(3))^(n) and f is its fractional part.Then (I+f)(1-f) is:

Let f(x)=[x] +sqrt({x}) , where [.] denotes the integral part of x and {x} denotes the fractional part of x. Then f^(-1)(x) is

If n be a positive integer then prove that the integral part P of (5+2sqrt6)^n is an odd integer. If f be the fractional part of (5+2sqrt6)^n , prove that P=frac{1}{1-f}-f

G.I.F. , fractional part function

If in a positive integer such that If a number a=p+f whre p is an integer and 0ltflt1 . Here p is called the integral part of a and f its fractional part. Let n in N and (sqrt(3)+1)^(2n)=p+f , where p is the integral part and 0ltflt1 . On the basis of bove informationi answer teh following question: f^2+(p-1)f+4^n= (A) p (B) -p (C) 2p (D) -2p

Consider the binomial expansion of R = (1 + 2x )^(n) = I + f , where I is the integral part of R and f is the fractional part of R , n in N . Also , the sum of coefficient of R is 2187. The value of (n+ Rf ) "for x" = (1)/(sqrt(2)) is

Consider the binomial expansion of R = (1 + 2x )^(n) = I + f , where I is the integral part of R and f is the fractional part of R , n in N . Also , the sum of coefficient of R is 2187. The value of (n+ Rf ) "for x" = (1)/(sqrt(2)) is

Consider the binomial expansion of R = (1 + 2x )^(n) = I + f , where I is the integral part of R and f is the fractional part of R , n in N . Also , the sum of coefficient of R is 2187. The value of (n+ Rf ) "for x" = (1)/(sqrt(2)) is

Consider the binomial expansion of R = (1 + 2x )^(n) = I = f , where I is the integral part of R and f is the fractional part of R , n in N . Also , the sum of coefficient of R is 2187. If ith term is the geratest term for x= 1/3, then i equal

Consider the binomial expansion of R = (1 + 2x )^(n) = I = f , where I is the integral part of R and f is the fractional part of R , n in N . Also , the sum of coefficient of R is 2187. If ith term is the geratest term for x= 1/3, then i equal