The prime factorisation of a prime number is the number itself. How many factors and prime factors does the square of a prime number have?

$\sqrt{n}$ is a natural number such that $n>1$. Which of these can definitely be expressed as a product of primes.

$i) \sqrt{n}$

$ii)\hspace{0.17em}n$

$iii)\hspace{0.17em}\frac{\sqrt{n}}{2}$

Let $p$ be a prime number and $k$ be a positive integer. If $p$ divides $k^2$, then which of these is definitely divisible by $p$?

The value of $\frac{a+\sqrt{a^2-b^2}}{a-\sqrt{a^2-b^2}}+\frac{a-\sqrt{a^2-b^2}}{a+\sqrt{a^2-b^2}}$ is