Right = e (√ x 1x2)

Due to e> 1

So e x is increasing function.

And have

(√x 1-√x2)^2>； =0

Therefore, x1+x2 >; =2√x 1x2

Therefore (x1+x2)/2 >; =√x 1x2

That is e ([x1+x2)/2] > = e [√ x1x2].

Therefore, left > = right.

exceed