I'm not Even sure I'm using the correct terminology here, but I'm helping out my high school daughter with her algebra and was presented with the following rule:
$\sqrt3/\sqrt2 = \sqrt{3/2}$
Accepting that this is true (which a calculator did demonstrate), I should be able to step through a proof using the process for simplifying radicals in the denominator. So, given:
$\sqrt3/\sqrt2$
I then multiply by the value of the denominator divided by itself:
$\sqrt3/\sqrt2 * \sqrt2/\sqrt2$
to get:
$(\sqrt3 * \sqrt2)/2$
which equals:
$\sqrt6/2$
And that's where I get stuck. What can I do to get to:
$\sqrt{3/2}$
Other than using a calculator of course. :)