if x =3+square root 3 then x2 +1/x2=?
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Answer:
if x=2+√3
then
1/x=2-√3(by rationalization)
then(x+1/x)^2 +x^2+(1/x)^2+2*x*(1/x)
that Is (2+√3+2-√3)^2=x^2+(1/x)^2+2
4^2-2=x^2+(1/x)^2
ans is 14....
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