Multiplying and dividing radicals makes use of the "Product Rule" and the "Quotient Rule" as seen at the right. The "n" simply means that the index could be any value. Our examples will be using the index to be 2 (square root).

Multiplying Radicals: When multiplying radicals (with the same index), multiply under the radical, and then multiply in front of the radical (any values multiplied times the radicals). 



ANSWER: 

Multiply the values under the radicals.
Then simplify the result.



ANSWER:


Multiply out front and multiply under the radicals.
Then simplify the result.


Product Rule
where a ≥ 0, b≥ 0
"The radical of a product is equal to the product of the radicals of each factor." 
Quotient Rule
where a ≥ 0, b > 0
"The radical of a quotient is equal to the quotient of the radicals of the numerator and denominator."

