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For (a + b)² = a² + 2ab + b². So (2 + sqrt(2))² = 2² + 2*2*sqrt(2) + (sqrt(2))² = 4 + 4*sqrt(2) + 2, which equals 6 + 4*sqrt(2) = approx 11.6569

Alternately:-

The value of sqrt(2) is appx 1.414

So ( 2 + sqrt(2) )2 = ( 2 + 1.414 )2

= (3.414)2

= 11.65

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