2021 · Q83
Which one of the following is the arithmetic mean of √3 - √2 and its reciprocal?
General Mental Ability, Quantitative Aptitude and StatisticsElementary statistics
- A√3
- B√2
- C2
- D1
Explanation
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