Question

(√6+1)^2008-2*(√6+1)^2007-5*(√6+1)^2006+2006

Answer 1

(√6+1)^2008-2*(√6+1)^2007-5*(√6+1)^2006+2006

=(√6+1)^2006*(7+2√6-2√6-2-5)+2006

=0+2006

=2006