Sum bound from fixed product by AM-GM for JEE

Formula

\(x_1+x_2+\cdots+x_n\ge n(x_1x_2\cdots x_n)^{1/n}\)

Variables: \(x_1,x_2,\dots,x_n\): non-negative real numbers.

Conditions: All \(x_i\ge 0\); equality iff all are equal.

Minimizing sum for given product.