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Simplified Form of a Square Root; of a Cube Root

Here is what we mean by simplified form for a square root or cube root.

Definition â€” Simplified Form of a Square Root; of a Cube Root

When we work with a square root or a cube root, we say a radical expression is in simplified form when there are:

â€¢ No perfect square factors under a square root symbol.

â€¢ No perfect cube factors under a cube root symbol.

â€¢ No fractions under a radical symbol.

â€¢ No radicals in the denominator of a fraction.

Here are some examples:	Not simplified
â€¢ No perfect square factors actors under a square root.
â€¢ No perfect cube factors under a cube root.
â€¢ No fractions under a radical symbol.
â€¢ No radicals in the denominator of a fraction.