The other thing you need to know is, when you multiply two numbers raised to the same exponent, a^c x b^c, that's equal to (a x b)^c.
Here, we have √2 x √3, which is two numbers (2 and 3) raised to the same exponent (1/2). So, from our exponent rule, that is equal to (2 x 3)^(1/2), or √(2 x 3). So we write
√(2 x 3) + √2
--------------------
........ 4
√6 + √2
-------------
.... 4
That's really just some practice on manipulating radicals; it's not necessary to get to your answer. But I hope it helps!