If I have the value of $\sqrt{1.3}$ could it be possible to find other square roots from that value? using the manipulation of surds? If I have the value of $\sqrt{1.3}$ could it be possible to find other square roots from that value? using the manipulation of surds?  

You can use the knowledge of $\sqrt{1.3}$ to calculate $\sqrt{x}$ only if $x = 1.3*y$, where $y$ is some other number whose square root you already know.
So $\sqrt{5.2}$ is easy, because it's just $\sqrt4*\sqrt{1.3}$, which you can calculate, assuming that you know that $\sqrt{4}=2.$
To calculate $\sqrt{2.6}$, you could argue that this is just $\sqrt2 *\sqrt{1.3}$, but that doesn't help unless you already know $\sqrt2$.
