Question

if a = 2+√3/2 then find the value of a square + 1/a^2​

Answer 1

a=2+√3/2

a^2+1/a^2=?

Leta^2=k=4+3/4+2√3=19/4+2√3

1/k=1/ 2+√3/2

On rationalising

1/k=(8-2√3) /13

K+1/K= 19/4+2√3+(8-2√3)/13