Question
Evaluate: [1 / (3 + √5)] + [1 / (3 − √5)]
Solution
ATQ, 1/(3 + √5) + 1/(3 − √5) = [(3 − √5) + (3 + √5)] / [(3 + √5)(3 − √5)] = (3 − √5 + 3 + √5) / (9 − 5) = (6) / 4 = 3/2
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