Question

if x=2-√3 , find (x-1/x)^3​

Answer 1

x=2-√3

1/x=[{1/(2-√3)}×{2+√3}]/(2+√3)

1/x=(2+√3)/(4-3)

1/x=(2+√3)/1

1/x=2+√3

Therefore x-(1/x)=2-√3+2+√3=4

(x-1/x)^3=4^3=64

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