Can anyone seem to help me with this topic? The way our teacher is describing it is difficult to understand. I know that you can only simplify by perfect squares but what do I do after that..? Someone please help :/

So. The square root of 36 is 6, so the first one is 4 x 6, which is 24.Now. If you factor 92, you get it down to 2 x 2 x 23, or 4 x 23. Because 4 is a perfect square, you can 'take it out' so to speak, and put it's root, 2, on the outside. Multiply 2 by 4, and you get 8R23, the fully simplified answer.

No, because it's not inside the radical. You could put 64 back inside the root, but that would be counter-productive.Unless I understood you incorrectly...

I'm a bit late, but here's a great resource: http://www.wolframalpha.com/input/?i=%284%E2%88%9A36%29%2F%284%E2%88%9A92%29I don't recommend using it to get your answers because that won't help you learn, but it is outstanding for checking your answers. Mathematica software helped me get through two semesters of Calculus in college.

If I'm not mistaken (it's been so long since I used Mathematica now) mathematica actually has a function for solving the equation, not just giving you the final answer. That makes quite the difference if you're trying to figure out how to do something.

I believe you're right. Wolfram Alpha doesn't have that, though. The Mathematica software is reasonably priced, though, and well worth the investment for anyone taking advanced math classes.

perhaps i'll look into that, i'm sure i'll need to take a bunch of math classes in college anyways. Thank you everyone, the help is much appreciated