$\sqrt{5+2 \sqrt{6}} = \dots$

State whether the following rational number has a terminating decimal expansion or not. If it has a terminating decimal expansion,find it: $\frac{13}{125}$

Prove that the square of any odd positive integer is of the form $8m + 1$,where $m$ is a non-negative integer.

Prove that $5^{n} \times 6^{n}$ ends in zero for any natural number $n \in N$.

If the $HCF$ of $65$ and $117$ is expressible in the form $65m - 117$,then the value of $m$ is

$\frac{p}{q}$ is a rational number and for non-negative integers $m$ and $n$,$q = 2^{m} 5^{n}$ if and only if the decimal form of $\frac{p}{q}$ is $\ldots \ldots \ldots \ldots$