Maths: Roots - simplifying

I'm trying to learn Surds but its tricky and way too many roots everywhere, and I'm confused at simplifying.

Here's the question:

Work out: (6+√ 3)(6-√3) / √ 33
Give your answer in its simplest form.
I've worked out the top part of the equation. 36 - 6√ 3 + 6√ 3 - 3
Now how do I simplify it I'm confused, please tell me how to simplify it.
And any tips on Surds it's really confusing.

Sorry about the title I forgot to put 'Surds' in.

I'm trying to learn Surds but its tricky and way too many roots everywhere, and I'm confused at simplifying.

Here's the question:

Work out: (6+√ 3)(6-√3) / √ 33
Give your answer in its simplest form.
I've worked out the top part of the equation. 36 - 6√ 3 + 6√ 3 - 3
Now how do I simplify it I'm confused, please tell me how to simplify it.
And any tips on Surds it's really confusing.

Sorry about the title I forgot to put 'Surds' in.

Evaluating $36-6\sqrt{3} + 6\sqrt{3} -3$ yields 33 as your numerator.
You now have:
$\dfrac{33}{\sqrt{33}}$
How many times does $\sqrt{33}$ go into 33?

Thanks for the answer but how did you simplify it, that's what I desperately need to know.

$\dfrac{33}{\sqrt{33}}=x$
Now we ask ourselves what times $\sqrt{33}$ is 33?

How did you simplify my simplified equation into 33? Please help

As I said: $\sqrt{33} \times \sqrt{33} =33$
If we divide both sides by $\sqrt{33}$, it follows that:
$\sqrt{33}=\dfrac{33}{\sqrt{33}}$

Difference of two squares.

EDIT: nevermind, you've done that bit already.

Remember

$x - x = 0$

Likewise

$x\sqrt3 - x\sqrt3 = 0$

How did you get √33 (not the one under the equation the one you simplified. I dont know how to simplify it.

But its -6√3 + 6√3 it has a plus.

The square root of a number is another number that you have to multiply by itself to get the original number.

Does that help?

Ahh I'm not phrasing it correctly I think. I mean how did you get '√33'
from '36-6√3+6√3-3' by simplifying it? What is the process of simplifying, that's what I'm stuck on, how to 'simplify' it, not answer it just the simplifying part.

6√3 and -6√3 cancel out. 36-3 = 33.