If `x=1-sqrt(2)` , find the value of `(x-1/x)^3`

Explanation

To find the value of \((x - \frac{1}{x})^3\) given \(x = 1 - \sqrt{2}\), we will follow these steps:

### Step 1: Calculate \(\frac{1}{x}\)
Given \(x = 1 - \sqrt{2}\), we need to find \(\frac{1}{x}\). To do this, we will rationalize the denominator:

\[ \frac{1}{x} = \frac{1}{1 - \sqrt{2}} \cdot \frac{1 + \sqrt{2}}{1 + \sqrt{2}} = \frac{1 + \sqrt{2}}{(1 - \sqrt{2})(1 + \sqrt{2})} \]
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