Question

if x= 2+√3 find x3 + 1/ x3

Answer 1

If x=2+√3
Then,
1\x=1\2+√3×2-√3\2-√3
1\x=2-√3

Now x+1\x=2+√3+2-√3
X,+1\x=4

(X+1\x)^3= x^3+1\x^3+3×x×1\x(x+1\x)
(4)^3=x^3+1\x^3+3×4
64=x^3+1\x^3+12
64-12=x^3+1\x^3
X^3+1\x^3=52 answer...