By expanding each backet and simplifying, explain why (3+√5)(3+√5)-(2+√2)(2+√2)>0
Show all working.
(3+√5)(3+√5)-(2+√2)(2+√2)
[9 + 6√5 + 5] - [4 + 4√2 + 2] =
[14 + 6√5] - [ 6 + 4√2] =
8 + 6√5 - 4√2 ≈ 15.76
