Question

x = 1 - root 2. find (x - 1/x)^2
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Answer 1

Step-by-step explanation:

(1 - √2 - 1 / 1 - √2)²

{(1-√2)² - 1 / 1 -√2}²

(1 + 2 - 2√2 - 1 / 1-√2)²

(4 + 8 - 8√2 / 3 - 2√2)

(12-8√2/3-2√2)

now you just have to rationalise