Home
Class 12
MATHS
If in a positive integer such that If a ...

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 `neplilon N and (sqrt93)+1)^(2n)=p+f`, where p is the integral part and `0ltflt1`. On the basis of bove informationi answer teh following question: The integral part p of `(sqrt(3)+1)^(2n)` is (A) an even number for al `n epsilon N` (B) an odd number for all `nepsilon N` (C) anodd or even number according as n is odd or even (D) an even or odd nuber according as n is odd or even

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the integral part of (5 sqrt(5) + 11)^(2n +1) is even where n in N .

Show that the integral part of (5 + 2 sqrt(6))^(n) is odd where n is natural number

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

If n is positive integer,then prove that the integral part of (7+4sqrt(3))^(n) is an odd number.

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 (8 + 3sqrt(7))^(n) = P + F , where P is an integer and F is a proper fraction , then

If (6+sqrt(35))^(n)= I+F when I is odd and 0ltFlt1, then (1+F)(1-F)=

Let f(x)=cos sqrt(x) where p=[a] where [x] is the integral part of x if the period of f(x) is pi, then a in

If (3sqrt(3)+5)^(n)=p+f. where p is an integer and f is a proper fraction.then find the value of (3sqrt(3)-5)^(n),n in,N, is