## What are radicals in algebra?

A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction. The smallest radical is the square root, represented with the symbol √. The next radical is the cube root, represented by the symbol ³√.

## How do you separate radicals?

Dividing Radicals: When dividing radicals (with the same index), divide under the radical, and then divide in front of the radical (divide any values multiplied times the radicals). Divide out front and divide under the radicals. Then simplify the result.

## What radicals Cannot be simplified?

If the number under the radical has no perfect square factors, then it cannot be simplified further. For instance the number √17 cannot be simplified further because the only factors of 17 or 17 and 1 . So, there are no perfect square factors other than 1 .

## What is the product rule for radicals?

In this form the rule is called the product rule for radicals. The nth root of a product is equal to the product of the nth roots. In symbols, If the radicand of a square root has a perfect square (other than 1) as a factor, the product rule can be used to simplify the radical expression.