Question

if x = 2 - root 3, find the value of (x- 1/x) 3

Answer 1

Value of 1/x= 2+√3
Hence x-1/x=4
And cube of 4 is 64 which is required answer

Answer 2

HELLO......FRIEND!!

THE ANSWER IS HERE,

$= > \: x = 2 - \sqrt{3} .$

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

$= > \: \frac{1}{2 - \sqrt{ 3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} }$

$= > \: \frac{2 + \sqrt{3} }{4 - 3}$

$= > \: 2 + \sqrt{3} .$

$= > \: ( {x - \frac{1}{x}) }^{3}$

$= > \: ({2 - \sqrt{3} - 2 - \sqrt{3}) }^{3}$

$= > \: ( { - 2 \sqrt{3}) }^{3}$

$= > \: - 24 \sqrt{3} .$

:-)Hope it helps u.