Simplify the expression: sqrt((4 - 8*sqrt(5))/(1 - sqrt(5)) - sqrt(5))

1. Rationalize the denominator of the fraction:
$$ \frac{4 - 8\sqrt{5}}{1 - \sqrt{5}} \times \frac{1 + \sqrt{5}}{1 + \sqrt{5}} = \frac{4 + 4\sqrt{5} - 8\sqrt{5} - 40}{1 - 5} = \frac{-36 - 4\sqrt{5}}{-4} = 9 + \sqrt{5} $$
2. Substitute the rationalized fraction back into the expression:
$$ \sqrt{9 + \sqrt{5} - \sqrt{5}} = \sqrt{9} $$
3. Calculate the square root:
$$ \sqrt{9} = 3 $$