Remember that when you have a fraction, you can multiply it by the number 1, and the value will be unchanged. This is obvious, right?
In this case, we multiply the fraction by the square root of two, DIVIDED by the square root of two. Obviously, that is equal to one. Then, you just simplify.
On the denominator, you have the root of 2 multiplied by the root of 2, which is 2. On the top you get the square root of two, which is simply
Let me know if this makes sense.
EDIT: Also, obviously, I assume you know that the square root of 1 is 1.
(sorry) Yes, arcketer, you found one solution but not the other :
This is equivalent (obviously) to :
Therefore, taking the square root yields :
and (the square of a number is equal to the square of its opposite!)
Using properties of square roots, the solutions become :
and .
Simplifying :
and .
unfortunately, a lot of this has left my brain. i haven't touched this material in fifteen years. I just started school this semester and i wasn't allowed to retake algebra ( passed it), so i took trig. I pretty far behind right now, but slowly getting back up to speed. I just hope i can catch up before the semester ends.