Answer to Question #79989 in Algebra for Dillip

Question

Let xi belongs to R such that 0<x1≤x2≤....≤xn, n≥2 and,
1/(1+x1) + 1/(1+x2) + ....+1/(1+xn)=n
Then show that √x1+√x2+...+√xn ≥ (n-1)(1/√x1+.....+1/√xn)
Solve using laws and theorem of inequality