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First let's rationalize the denominator. Rationalizing two-term denominators with square roots takes advantage of the pattern. The right side, as you can see is a difference of perfect squares. The left side is a product of two-term expressions. The pattern shows us how to take a two-term expression, an (a+b) or (a-b), and turn it into an expression of perfect squares.
Your denominator is a two-term sum. IOW, an (a+b). To turn it into an expression of perfect squares we need to multiply it by its corresponding (a-b):
Multiplying the denominators is easy; just use the pattern. To multiply the numerators we will need to use the distributive property:
which simplifies as follows:
Now we can split the fraction to get the form:
which simplifies to:
So and
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