Question

If x = 2 - root 3, then find the value of x^3 - 1/x^3
Please solve this ​

Answer 1

Step-by-step explanation:

$x = 2 - \sqrt{3}$

$x {}^{2} = 2 {}^{2} - 3 = 1$

$x {3}^{} = 2 - \sqrt{3}$

1/x

$1 \div x {}^{3 = 2 + \sqrt{3} }$

$x {}^{3} - \frac{1}{x {}^{3} } = - 2 \sqrt{3}$