(√3-√2)² + (√3+√2)² =

Expand the terms using the formula (a ± b)² = a² ± 2ab + b².
(3 - 2√6 + 2) + (3 + 2√6 + 2)
Combine like terms: (3 + 2) + (3 + 2) - 2√6 + 2√6 = 5 + 5 = 10.