The decimal expansion of $\frac{337}{125}$ is $\ldots \ldots \ldots \ldots$

Prove that the following number is irrational: $3 \sqrt{5}$.

The product of two conjugate binomial surds is ...........

According to Euclid's division lemma,for given positive integers $a$ and $b,$ there exist unique non-negative integers $q$ and $r$ such that $a = bq + r,$ where ...........

Show that the square of any positive integer cannot be of the form $5q+2$ or $5q+3$ for any integer $q$.

Find the $\text{g.c.d.}$ and $\text{l.c.m.}$ of $510$ and $92$ using the fundamental theorem of arithmetic.