If a= 2+ sqrt(3) , then Find The Value of (a^6 +a^4 + a^2 + 1)/a^3 is

If a= 2+ sqrt(3) , then Find The Value of (a^6 +a^4 + a^2 + 1)/a^3 is

#mathematicalolympiad #routetomathematics

[michaelpurtell]

Did it by completely different method using fact that a squared plus 1 equals 4a and that a to the 6th etc factors into (a squared +1)(a^4+1)

[michaelpurtell]

Did by different method using a^2+1=4a and a^6 etc factors in to (a^2+1)(a^4+1)