# An algebra problem by Sambhrant Sachan

Algebra Level 3

If $$a_i > 0$$ for $$i=1,2,3,\ldots, n$$ and $$a_1 a_2 a_3\cdots a_n = 1$$, find the minimum value of $$(1+a_1)(1+a_2 )\cdots (1+a_n)$$.

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