Indices and Surds Proof

Actually I've worked it out now. Although I didn't use part a.

For part a I got a^2 +2ab sqrt(2) + 2b^2

For part b, when I expand I get 17 - 12 sqrt(2). Since I know that (1 - sqrt(2))^4 must be 0 or positive, it follows that sqrt(2) must be less than 17/12
 
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