If `x = (1)/(3-sqrt(8))`, find the value of `x^(3) -9x^2+27x-27`

Explanation

To solve the problem, we need to find the value of \( x^3 - 9x^2 + 27x - 27 \) given that \( x = \frac{1}{3 - \sqrt{8}} \).

### Step-by-Step Solution:

1. **Rationalize the Denominator**:
We start with the expression for \( x \):
\[
x = \frac{1}{3 - \sqrt{8}}
...