Simplifying Radicals

To simplify radicals, consider the following:

1. If an exponent is a lower number than the index, the factor is left in the radicand.

Extraction of Factors

Extraction of Factors

2. If an exponent is equal to the index, the factor goes outside the radicand.

Extraction of Factors

Extraction of Factors

3. If an exponent is greater than the index and is divided by the index, the quotient is the exponent of the factor outside the radicand and the remainder is the exponent of the factor within the radicand.

Extraction of Factors

Extraction of Factors

Extraction of Factors