If x=7+4√3 then find the value of x³+1/x³
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given x=7+4√3
x^3+1/x^3=[x+1/x]^3-3×x×1/x[x+1/x]
1/x=1/7+4√3=7-4√3(by rationalizing the denominator)
x^3+1/x^3=(7+4√3+7-4√3)^3
-3[7+4√3+7-4√3]
x^3+1/x^3=(14) ^3-3×14
=2744-42
=2702
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