The product of two irrational numbers is

Which of the following is a true statement?

A rational number lying between $\sqrt{2}$ and $\sqrt{3}$ is

Which of the following is a rational number?

The product of a nonzero rational number with an irrational number is always a/an

The value of $0.\overline{2}$ in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$, is

The simplest form of $1.\overline{6}$ is

The simplest form of $0.\overline{54}$ is