Question

if a=2+√3, b=2-√3 then 1/a²-1/b²​

Answer 1

Answer:

a = 2+√3

_____________

1/a = 1/2+√3

By rationalization,

1/x = 2-√3

Now,

a²+1/a²

(2+√3)²+(2-√3)²

4+3+4√3 +4+3-4√3

4+3+4+3

14