Question 29
Find the smallest integer $n$ such that $$
\begin{aligned} (x^2+y^2+z^2)^2 &\le{}\\[-4pt] &n(x^4+y^4+z^4) \end{aligned}
$$ for all real numbers $x,$ $y$ and $z.$
\begin{aligned} (x^2+y^2+z^2)^2 &\le{}\\[-4pt] &n(x^4+y^4+z^4) \end{aligned}
$$ for all real numbers $x,$ $y$ and $z.$