Question

if a= 2-√3÷2, then find the value of a²+1/a²​

Answer 1

Answer:

a^2 =( 2-3^1/2/2)^2

= 4 + 3 + 4×3^2/4

= 7+ 3^2/4

1/a^2 = 1/7+3^1/2/4

= 4/ 7+3^2

7+3^1/2/4 + 4/7+3^1/2

(7+3^1/2)^2 + 16/ 21 + 12×3^1/2

40/21+12×3^1/2