Solving for unknown inside square root Sorry if this is a very primitive question, but I really not sure if I am right about this kind of situations. Imagine the following equation where $a$ , $b$ and $c$ are known numbers and $x$ is the unknown variable:
$$a\sqrt{bx}=c$$
Is it ok in this case to do it like
$$a^2bx=c^2$$
If not, how to solve such equation?

$a\sqrt{bx} = c$
$\sqrt{bx} = \frac{c}{a}$
$bx = \frac{c^2}{a^2}$
$x = \frac{c^2}{ba^2}$
This is essentially your argument. 
