if x=1+√2 then find value of (x-1/x)^3
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if x=1+√2
then x-1/x³ = 1+√2 - 1 / (1+√2)³
= √2 / 1³ + √2³ + 3(√2)(1)(1+√2)
= √2 / 1 + 2√2 + 3√2(1+√2)
= √2 / 1 + 2√2 + 3√2 + 12
= √2 / 13 + 5√2
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