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First we can reduce the fraction. Factoring a 2 out of both the numerator and denominator we get:
Canceling the factors of 2 we get:
Next we need to rationalize the denominator (i.e. eliminate the square root(s) in the denominator). This denominator has two terms. To rationalize a denominator like this we take advantage of the . Note that the right side of the pattern is made of of perfect square terms! And the left side shows us how to get these perfect square terms. You denominator, , with its subtraction will play the role of (a-b) in the pattern. So get the perfect squares we just need to multiply by (a+b):
Multiplying we get:
which simplifies as follows:
(