Why 1+1 ?

Level pending


The answer is 2.

Fagner Feitosa by Fagner Feitosa , 116, Brazil

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1 solution

Noel Lo
Apr 1, 2015

Let the expression be a-b.

( a − b ) 2 (a - b)^2 = a 2 + b 2 − 2 a b a^2 + b^2 -2ab

= 3 + 2 2 + 3 − 2 2 − 2 ( 3 + 2 2 ) ( 3 − 2 2 ) 3 + 2\sqrt{2} + 3 - 2\sqrt{2} -2 \sqrt{(3 + 2\sqrt{2})(3 - 2\sqrt{2})}

= 6 − 2 9 − 8 = 6 − 2 = 4 6 -2\sqrt{9-8} = 6 - 2 = 4

So a-b= 4 \sqrt{4} = 2.

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