If a, b,c are three positive real numbers , then find minimum value of `(a^(2)+1)/(b+c)+(b^(2)+1)/(c+a)+(c^(2)+1)/(a+b)`

Explanation

To find the minimum value of the expression

\[ E = \frac{a^2 + 1}{b + c} + \frac{b^2 + 1}{c + a} + \frac{c^2 + 1}{a + b} \]

for positive real numbers \(a\), \(b\), and \(c\), we can use the Cauchy-Schwarz inequality.

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