If x=2-root3 find x cube +1/x cube
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given,
x=2-√3
Therefore, 1/x=1/2-√3
Rationalise,
1/x=1/2-√3*2+√3/2+√3
1/x=2+√3/4-3
1/x=2+√3
therefore, x+1/x=2-√3+2+√3
x+1/x=4
therefore, (x+1/x)^3=4^3
x^3+1/x^3=64-2
=62.
x=2-√3
Therefore, 1/x=1/2-√3
Rationalise,
1/x=1/2-√3*2+√3/2+√3
1/x=2+√3/4-3
1/x=2+√3
therefore, x+1/x=2-√3+2+√3
x+1/x=4
therefore, (x+1/x)^3=4^3
x^3+1/x^3=64-2
=62.
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