Question

x=2-
$\sqrt{3}$

find the value of (x-1/x)^3
​

Answer 1

Answer:

Given,

x= 2-√3

therefore,

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

Now,

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

therefore,

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

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

$(x - \frac{1}{x} ) = - 24 \sqrt{3}$

✅✅

Step-by-step explanation:

hope it helps yrr