Question
If n = 5 + √6, then find the value of (n +
1/n)².Solution
'n' = 5 + √6
So,
1/n = 1 / (5 + √6) × (5 - √6)/(5 - √6)
= (5 - √6) / (25 - 6)
= 5 - √6
Required value = (5 + √6 + 5 - √6)² = (10)² = 100
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