Since, product of n positive numbers is unity.⇒x1​⋅x2​⋅x3​…xn​=1 Using AM ≥GM,nx1​+x2​+…+xn​​≥(x1​⋅x2​…xn​)1/n⇒x1​+x2​+…+xn​≥n (1) )1/n [from Eq. (i)] ​Hence, sum of n positive numbers is never less than n.