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If x + 1/x = 23, then find the value of (√x – 1/√x).1. √252. √213. √294. √19 |
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Answer» Correct Answer - Option 2 : √21 Given: x + 1/x = 23 Formula Used: (a – b)2 = a2 + b2 – 2ab Calculations: x + 1/x = 23 Subtracting 2 on both sides x + 1/x – 2 = 23 – 2 ⇒ (√x)2 + 1/(√x)2 – 2 = 21 ⇒ (√x – 1/√x)2 = 21 ∴ (√x – 1/√x) is √21 |
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