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You can say that a square root radical is simplified, or in its simplest form, when the radicand has no square factors. A radical is also in simplest form when the radicand is not a fraction.
e.g. √27 has a square factor 9
Thus we can represent √27 as √9x3 , and we can rewrite this as 3√3 in a simplest form, The radicand no longer has any square factors.

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Include these types of problems

Radicands are perfect squares.
Radicands are whole numbers that are not perfect squares.
Problems are in the form x sqrt(y).
Radicands have unknowns (variables).
Radicands are fractions. The denominators are perfect squares.
Radicands are fractions.