if x =7+4√3,find x =1/x
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Answer:
x+1/x = (7-4√3) + 1 / (7-4√3)
= {(7-4√3)^2 + 1} / (7-4√3)
= ( 49–56√3+48 + 1 ) / (7-4√3)
= ( 98–56√3 ) / (7-4√3)
= 14 ( 7-4√3 ) / ( 7-4√3 ) = 14
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7-4√3
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