Question

If a=2+√3, find the value of a²+1/a²​

Answer 1

Step-by-step explanation:

a=2+√3

1/a=1/2+√3

1/a=2-√3/4-3

1/a=2-√3

a+1/a=4

(a+1/a)²=16

a²+1/a²+2=16

a²+1/a²=14