Question

If x = 2 + √3 find x^2 + 1/x^2 .

Answer 1

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).....