Question

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12) If $\sf{x=2-\sqrt{3}}$, then find the value of $\bigg\lgroup\sf{x^3-\dfrac{1}{x^3}}\bigg\rgroup$​

Answer 1

Step-by-step explanation:

1/x=1×2+√3/(2)²-(√3)²

=2+√3/4-3

=2+√3

x-1/x=(2-√3)-(2+√3)=-2√3

(x-1/x)³= -2√3³= -24√3

x³-1/x³+3= -24√3

(x³-1/x³)= -24√3-3

= -27√3