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  4. If a, b, c and d are four positive real numbers and a b c d =1 such that the minimum value of (1+a)(1+b)(1+c) (1+d) is λ, find the value of (√[4]λ+1).

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Q. If $a, b, c$ and $d$ are four positive real numbers and $a b c d$ $=1$ such that the minimum value of $(1+a)(1+b)(1+c)$ $(1+d)$ is $\lambda$, find the value of $(\sqrt[4]{\lambda}+1)$.

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Solution:

Correct answer is '3'