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 April 3rd, 2014, 12:11 PM #1 Senior Member   Joined: Nov 2013 Posts: 434 Thanks: 8 a and b (1+ root(2) )^2006=a+broot(2) find a^2-2b^2
 April 3rd, 2014, 12:36 PM #2 Senior Member   Joined: Dec 2013 From: Russia Posts: 327 Thanks: 108 This problem is outdated: it is from 2006. Next, please! Seriously, note that $\displaystyle a^2-2b^2=(a+\sqrt{2}b)(a-\sqrt{2}b)$ and try expressing $\displaystyle a-\sqrt{2}b$ similarly to how $\displaystyle a+\sqrt{2}b$ is defined. Thanks from mared

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