Find mini of K that all a ,b,c>0.we put function f(x)=^3✔️x that we have ^3✔️a+^3✔️b+^3✔️c<k(^3✔️a+b+c throughout Jensen inequality 

To solve this problem using **Jensen's inequality**, let's follow these steps carefully:

### Problem Restatement:
We are given the function \( f(x) = \sqrt[3]{x} \) and we need

Find mini of K that all a, b, c > 0. We put function f(x)=∛x, and we have ∛a + ∛b + ∛c < k(∛a + b + c) throughout Jensen inequality.

Explore how to minimize K with the condition ∛a + ∛b + ∛c < k(∛a + b + c) using Jensen's Inequality. This problem dives into inequalities and the application of cubic root functions, suitable for advanced math learners.

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