The $\text{g.c.d.}$ $(24, 63) = \dots$

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

State whether the following rational number has a terminating decimal expansion or not. If it has a terminating decimal expansion,find it: $\frac{35}{50}$

Prove that the following number is irrational: $7 \sqrt{5}$

Prove that $6^{n}$ cannot end with the digit $0$ for any natural number $n \in N$.

Simplify: $\frac{2}{\sqrt{5}-\sqrt{3}} + \frac{4}{\sqrt{10+\sqrt{84}}} - \frac{2}{\sqrt{7}-\sqrt{5}}$