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Question

If `x = 1 + sqrt(2)` and ` y = 1 - sqrt(2), ` find the value of `(x^2  + y^2)`


Options:
A .  4
B .  5
C .  6
D .  7
Answer: Option C

Sol  `x^2 + y^2 = (1 + sqrt(2))^2 + (1 - sqrt(2))^2`

                        =  ` 2[(1)^2 + (sqrt(2))^2]`

                       = 2 x 3 = 6.  




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