For some integer $m$,every even integer is of the form

$\sqrt{7+2 \sqrt{5}} = \dots$

$A$ positive integer is of the form $3q + 1$,where $q$ is a natural number. Can you write its square in any form other than $3m + 1$,i.e.,$3m$ or $3m + 2$ for some integer $m$? Justify your answer.

State whether the following rational number has a terminating decimal expansion or not. If it has,then find it: $\frac{55}{150}$

The least number that is divisible by all the numbers from $1$ to $10$ (both inclusive) is

Show that $12^{n}$ cannot end with the digit $0$ or $5$ for any natural number $n$.