Divide $8 \sqrt{15}$ by $2 \sqrt{3}$.

Visualize $4.\overline{26}$ on the number line,up to $4$ decimal places.

Look at several examples of rational numbers in the form $\frac{p}{q}$ $(q \neq 0)$,where $p$ and $q$ are integers with no common factors other than $1$ and having terminating decimal representations (expansions). Can you guess what property $q$ must satisfy?

Are the following statements true or false? Give reasons for your answers.
$(i)$ Every whole number is a natural number.
$(ii)$ Every integer is a rational number.
$(iii)$ Every rational number is an integer.

Write three numbers whose decimal expansions are non-terminating non-recurring.

Are the square roots of all positive integers irrational? If not,give an example of the square root of a number that is a rational number.