Question
Which one of the following is the arithmetic mean of
√3 - √2 and its reciprocal?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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