x=(7-4√3) then the value of [x+1/x]
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x+1/x=(7-4√3)+1/(7-4√3)
= (49+48-56√3 + 1)/(7-4√3)
=(97-56√3)/(7-4√3)
{by rationalising the denominator we get....,}
= ( (97-56√3)(7+4√3))/(49-48)
= (97-56√3)(7+4√3)
= 7-4√3
= (49+48-56√3 + 1)/(7-4√3)
=(97-56√3)/(7-4√3)
{by rationalising the denominator we get....,}
= ( (97-56√3)(7+4√3))/(49-48)
= (97-56√3)(7+4√3)
= 7-4√3
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The answer is 14 okay
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