(-1 %2B sqrt(2))/(1 %2B sqrt(2)) %2B (1 %2B sqrt(2))/(-1 %2B sqrt(2)) – InterviewSolution

1.

(-1 %2B sqrt(2))/(1 %2B sqrt(2)) %2B (1 %2B sqrt(2))/(-1 %2B sqrt(2))

Answer»

(root(2) - 1)/(root + 1) +(root(2) +1)/(root - 1)

Take LCM

= (root(2) - 1)^2 + (root(2) + 1)^2/ (root(2)^2 - 1^2 )

= (2 + 1 + 2root(2)) + (2 + 1 - 2root(2))/(2 - 1)

= (3 + 3) / 1

= 6

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