If x=(2+√3) find the value of (x²+1/x²)²
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x²+1/x² = (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)]×[(7-4√3)/(7-4√3)]
= [(98+56√3)(7-4√3)]/7²-(4√3)²
= (686+392√3-392√3-672)/(49-48)
= 14/1
= 14
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