Question
If n = 1 + √2, then find the value of (n +
1/n)².Solution
'n' = 1 + √2
So,
1/n = 1 / (1 + √2) × (1 - √2)/(1 - √2)
= (1 - √2) / (1 - 2)
= -1 + √2
Required value = (1 + √2 + (-1 + √2))² = (2√2)² = 8
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