Question

If x = 1 - √3 , find the value of (x-(1/x)) The whole cubed.

Answer 1

Step-by-step explanation:

( x - 1/x )³

{ ( x² - 1) / x }³

[ { (1-√3)² - 1 } ]³ /(1 - √3) ³

( 1 - 2√3 + 3 - 1 )³ /( 1 - √3)³

( 3 - 2√3 )³ / (1-√3)³

(27 - 24√3 - 54√3 + 108) / (1 -3√3 - 3√3 + 9)

( 135 - 78√3) / 10