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      Question

      Which one of the following is the arithmetic mean of

      √3 - √2 and its reciprocal?
      A √3 Correct Answer Incorrect Answer
      B √2 Correct Answer Incorrect Answer
      C 2 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      Now reciprocal of √3 - √2 => 1/(√3 - √2) => (√3 + √2)/[(√3 + √2) (√3 - √2)] => (√3 + √2)/[(√3)2 - (√2)2] => (√3 + √2)/(3 – 2) => √3 + √2 Hence, the required arithmetic mean, => [(√3 - √2) + (√3 + √2)]/2 => 2√3/2 => √3

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