[" The greatest integer less than (or) "],[" equal to "(2+sqrt(3))^(6)" is "]

The greatest integer less than or equal to (sqrt2+1)^6 is

The greatest integer less than or equal to (sqrt2+1)^6 is

The greatest integer less than or equal to (sqrt(2)+1)^(6) is

The greatest integer less than or equal to (sqrt(2)+1)^(6) is

If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the greatest integer less than or equal to x, then f'"("sqrt(pi//3)")" is equal to

If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the greatest integer less than or equal to x, then f'"("sqrt(pi//3)")" is equal to