If n is a positive even integer, which of the following will always be integers `(sqrt2+1)^n+(sqrt2-1)^n`

If n is a positive integer, which of the following two will always be integers: (I) (sqrt(2)+1)^(2n)+(sqrt(2)-1)^(2n) (II) (sqrt(2)+1)^(2n)-(sqrt(2)-1)^(2n) (III) (sqrt(2)+1)^(2n+1)+(sqrt(2)-1)^(2n+1) (IV) (sqrt(2)+1)^(2n+1)-(sqrt(2)-1)^(2n+1)

If i =sqrt1 and n is a positive integer, which of the following statements is FALSE?

If n is a possible integer, then (sqrt3+1)^(2n)-(sqrt3-1)^(2n) is

If n is a positive integer (gt1) ,show that , 3^(2n+2)-8n-9 is always divisible by 64.

If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is

If n is a positive integer (gt1) , show that, (4^(2n+2)-15n-16) is always divisible by 225.

If n is a positive integer, then: (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is:

If n is a positive integer , then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is -