If be distinct, , then is
Explanation for the correct option:
Step 1: Apply the A.M and G.M inequality to and
We have given are distinct, positive, and in H.P.
let's consider two numbers and.
and we know that for distinct numbers.
Step 2: Apply the G.M and H.M inequality to and
are in H.P.
is the H.M of and.
taking power on both sides.
Multiplying both the sides with
From and,
Hence, the correct option is.