Is any irrational algebraic number normal number?

Question

Suppose number$R$ expands in decimal,and $\lim_{n\rightarrow\infty}\frac{C_{n}(d)}{n}=\frac{1}{10}$ where $d$ is one of the ten digit,and ${C_{n}(d)}$ the counting numbers of $d$ from first digit to $n$ digit.We call such a number as normal number.

Now, could any one give any irrational algebraic number $x$ which is a normal number?.

Answer 1

According to Wikipedia this is an open question:

It has been conjectured that every irrational algebraic number is normal; while no counterexamples are known, there also exists no [irrational] algebraic number that has been proven to be normal in any base.

https://en.wikipedia.org/wiki/Normal_number