If x = 2 + √3 find x^2 + 1/x^2 .
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Answer:
x^2 + 1/x^2
=> (2+√3) ^2 + 1/(2+√3) ^2
=> (4 + 3 + 4√3) + 1/(4+3+4√3)
=> (7+4√3) + 1/(7+4√3)
=> { (7+4√3) ^2 + 1} / ( 7+4√3)
=> ( 49+ 48 + 56√3 + 1) / (7+4√3)
=> (98+56√3) / (7+4√3).....
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