(√3)^2 = 3
(3-√2)^2 = 11-6√2
(√3)^2 - (3-√2)^2 = 6√2 - 8
(6√2)^2 = 72>64 = 8^2,所以6√2 - 8>0
从而(√3)^2 - (3-√2)^2 >0,也就是说√3 > 3 - √2.