If x = 2 - √3, then find (x + 1/x)³
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x = 2-√3
1/x = 1/(2-√3) = (2+√3)/(2²-(√3)²) = (2+√3)/(4-3) = (2+√3)
so,
x+1/x = (2-√3)+(2+√3) = 2+2 = 4
1/x = 1/(2-√3) = (2+√3)/(2²-(√3)²) = (2+√3)/(4-3) = (2+√3)
so,
x+1/x = (2-√3)+(2+√3) = 2+2 = 4
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