$\sqrt{12-\sqrt{140}} = \dots$

If two positive integers $p$ and $q$ can be expressed as $p = a b^{2}$ and $q = a^{3} b$,where $a$ and $b$ are prime numbers,then $LCM(p, q)$ is:

Find the $\text{l.c.m.}$ and $\text{g.c.d.}$ of the following by using the fundamental theorem of arithmetic: $144$,$180$,and $192$.

$A$ bookseller has $56$ English books and $72$ Gujarati books. He wants to stack them in such a way that all the books are stored topic-wise and the height of each stack is the same and also the stacks occupy the least surface area of the bottom. What is the maximum number of books that can be placed in each stack for this purpose?

The numbers in the form $3k \pm 1$ $(k \in Z)$ are $\ldots \ldots \ldots . .$

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