if x = 3 - 2 root 2 , then find x square - 1/ x square
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Answer:Given x = 3 + 2√2 ⇒ x2 = 17 + 12√2 ⇒ 1/x2 = 1/(17 + 12√2) On rationalizing the denominator we get 1/x2 = (17 – 12√2) ∴ (x2 +1/x2) =(17 + 12√2) + (17 – 12√2) = 34
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