(1 %2B sqrt(5))/(1 %2B sqrt(5)) %2B (-1 %2B sqrt(5))/5 %2B 1 – InterviewSolution

1.

(1 %2B sqrt(5))/(1 %2B sqrt(5)) %2B (-1 %2B sqrt(5))/5 %2B 1

Answer»

(sqrt (5) - 1)/ + (sqrt (5) +1)/ (sqrt (5) + 1) (sqrt (5) + 1)

= (sqrt (5) - 1) + (sqrt (5) + 1)/ sqrt (5) +1

= 2 sqrt (5)/ sqrt(5) + 1

= 2 sqrt(5) * (sqrt(5) - 1)/ ( 5 - 1)

= 1/2 (5 - sqrt(5))

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