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Step-by-step explanation:
x = (1-√2)
or, 1/x = 1/(1-√2) = (1+√2) / (1+√2)(1-√2) = (1+√2)/(1-2)
so, 1/x = –(1+√2)
now,
(x-1/x)³
= [(1-√2)-{-(1+√2)}]³
= [(1-√2)+(1+√2)]³
= (1-√2+1+√2)³
= 2³
= 8.
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