If \(a=(\sqrt{3}+\sqrt{2})^{-3}\) and \(b=(\sqrt{3}-\sqrt{2})^{-3}\), find the value of \( (a+1)^{-1}+(b+1)^{-1}\).
I did it a super long way, which may or may not be the only way to do it.
What have you done towards solving it ?
What is (sqrt3 + sqrt2)^3?
What is (sqrt3 - sqrt2)^3?