If the product of n positive real numbers is unity, then their sum is necessarily
Explanation:
Let a1, a2, a3,…, an be n positive real numbers.
Now, a1 × a2 × a3 × … × an = 1
We know that, A.M. ≥ G.M.
a1 + a2 + a3 + … + an ≥ n × (a1 × a2 × a3 × … × an)1/n
∴ a1 + a2 + a3 + … + an ≥ n × (1)1/n
∴ a1 + a2 + a3 + … + an ≥ n
Hence, option (c).
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