See questions below, thanks
1. If a > o, b> 0 and c>0, show that \frac{a+b+c}{3}\geq \sqrt[3]{abc}
2. Show that, if x^{3} + px + r = 0 has a root of multiplicity two, then 27r^{2} + 4p^{3} = 0
3. Show that \frac{a^{2} + b^{2} + c^{2}}{3}\left\geq \left ( \left \frac{a + b + c}{3}...