Represent $\sqrt{7.5}$ on the number line.
Simplify the following expressions
$(\sqrt{11}-\sqrt{3})^{2}$
State whether the following statements are true or false? Justify your answer.
$\frac{\sqrt{15}}{\sqrt{3}}$ is written in the form $\frac{p}{q},$ where $q \neq 0$ so it is a rational number.
Are there two irrational numbers whose sum and product both are rationals? Justify.
Show that $0.142857142857 \ldots=\frac{1}{7}$
State the type of the decimal expansion of $\frac{1}{7}$