What is 12/(square root of 2 - 6)?
I'm not quite sure on your notation here, I'm assuming you're meaning this
To do this problem we just need to rationalize. The concept in rationalizing is quite simple, we know that
So to get rid of these roots on the denominator, we'll multiply it by
But - and there's always a but - since this is a fraction I can't just multiply what's on the denominator. I need to multiply both the numerator and denominator by the same thing, so it goes:
We can put a 2 on evidence both on the numerator and on the denominator
17 is a prime number so we don't really have much more to do here. You can either put that 6 on evidence on the numerator, or evaluate