You may want to review multiplying expressions with roots and conjugate polynomials first.

If the denominator has two terms, then it's harder. We can still
get the radical out of the denominator, though, by using
conjugates. For example, suppose we have to simplify (√7 +
√2) / (√7 − √2). We multiply the numerator
and denominator by the *conjugate* of the denominator. This
is legal, because we can always multiply the numerator and
denominator of a fraction by the same thing; usually, though, it's
not very useful. Here, though, it is. Remember that the conjugate
means you switch the sign in the middle between + and −. So
in this case you multiply the numerator and denominator by
√7 + √2. The numerator just becomes (√7 +
√2)^{2} = 9 + 2√14, which isn't very
interesting; but the denominator becomes (√7 +
√2)(√7 − √2) = 7 − 2 = 5, which
doesn't have any radical signs in it. This always happens,
provided the denominator has two terms and the only roots are
square roots. (It's more complicated with higher roots; we won't
worry about that quite yet.) So the answer is
9 ⁄ 5 + 2 ⁄ 5 * √14.