Question

If x and y are 2 distinct positive integer s then mean of x and y is always greater than. a. xy. b. root ( xy )​

Answer 1

Given : x and y are 2 distinct positive integers  

To find :   mean of x and y is always greater than

Solution:

x and y are 2 distinct positive integer s then mean of x and y is always greater than root ( xy )​

x  &  y are  distinct  positive integer

=> Mean = (x  + y )/2

as we know that   (√x  - √ y )²  > 0   if x & y are distnicts

=> x + y  - 2√xy > 0

=> x + y  > 2√xy

=> (x + y)/2  > √xy

mean of x and y is always greater than √xy

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