# Math Help - Inequality

1. ## Inequality

I would gladly use a hint to get from $a^4+b^4+c^4 \geq a^3+b^3+c^3$ to $\frac{a^3}{\sqrt{b^4 + b^2 c^2 + c^4}} + \frac{b^3}{\sqrt{a^4 + a^2 c^2 + c^4}} + \frac{c^3}{\sqrt{a^4 + a^2 b^2 + b^4}} \geq \sqrt{3}$. Thanks in advance. (in positive reals)

2. Still racking my brain on that one... your help will be appreciated