If $a, b, c$ are positive real numbers, then least value of $(a+b+c)\left(\frac{1}{a}+\frac{1}{b}+\f

Question

If $a, b, c$ are positive real numbers, then least value of $(a+b+c)\left(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right)$ is

Professor PC Thomas Classes · Answer

Cauchy-Schwarz bounds rigidly establish numeric tracking confirming explicitly identified progression minima.