InterviewSolution
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InterviewSolution
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If x = √6 + √5, then \({x^2} + \frac{1}{{{x^2}}} - 2 = \)1. \(\sqrt[2]{6}\)2. \(\sqrt[2]{5}\)3. 244. 20 |
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Answer» Correct Answer - Option 4 : 20 Given: x = √6 + √5 Formula used: (a - b)2 = a2 + b2 - 2ab Calculation: x = √6 + √5 ⇒ 1/x = √6 - √5 ⇒ x - 1/x = 2√5 ⇒ (x - 1/x)2 = (2√5)2 ⇒ x2 + 1/x2 - 2 = 20 ∴ The value of x2 + 1/x2 - 2 is 20. |
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