Convert following rational numbers in decimal form and state the kind of its decimal expansion
$\frac{37}{60}$
State whether the following statements are true or false? Justify your answer.
$(i)$ Number of rational numbers between $15$ and $18$ is finite.
$(ii)$ There are numbers which cannot be written in the form $\frac{p}{q}, q \neq 0, p , q$ both are integers.
Represent geometrically numbers on the number line:
$\sqrt{4.5}$
Insert a rational number and an irrational number between the following:
$\sqrt{2}$ and $\sqrt{3}$
If $\left(\frac{2}{5}\right)^{5} \times\left(\frac{25}{4}\right)^{3}=\left(\frac{5}{2}\right)^{3 x-2},$ then find $x$.