Most teachers tell you to keep radicals out of the denominator because it is considered bad form and makes the number harder to understand at first glance. If/when you get to calculus however, this rule is completely ignored and you are expected to keep radicals in the denominators during most operations. So bottom line, if you pardon the pun, is radicals are perfectly fine in the denominator.
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It is called rationalising the denominator.
"rationalizing" the denominator
It could be written as 28 divided by radical 3. However, you will normally be required to rationalise the denominator which brings you back to 28 radical 3 divided by 3.
The 6th radical is raising something to the 1/6 power, and the 5th radical is the 1/5 power. Dividing means you subtract the exponents, and 1/6-1/5 is -1/30. The answer would be 1/(30th rad of the term).
Simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots and such left to find. It also means removing any radicals in the denominator of a fraction.