Question
If n = 6 + √13, then find the value of (n +
1/n)².Solution
'n' = 6 + √13
So,
1/n = 1 / (6 + √13) × (6 - √13)/(6 - √13)
= (6 - √13) / (36 - 13)
= 6 - √13
Required value = (6 + √13 + 6 - √13)² = (12)² = 144
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