They can always be combined for multiplication. For division, the only requirement is that the denominator is not 0. For addition and subtraction the terms, after simplification, must have identical radicals.
So, for example, sqrt(18) + sqrt(50) can be simplified to 3*sqrt(2) + 5*sqrt(2) and that simplifies to 8*sqrt(2).
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The answer depends on the form of the radical expression.
radical expressiona radical expression
A rational expression is an expression that contains a radical, i.e., a root.
10*radical(2).
Index, radicand, and radical :) lmfao