Multiplication Property of Radicals
Property â€”
Multiplication Property of Radicals
English The n^{th} root of a product is the product of the n^{th} roots.
Algebra
where
and
are real numbers and n is a positive
integer.
Example
Example
Use the Multiplication Property of Radicals to rewrite each expression.
Then simplify the result.
Solution
a. 



Write the product as a single radical.



Multiply the factors under the radical symbol.



Simplify the radical. 
= 8 
b. 



Write the product as a single radical.



Multiply the factors under the radical symbol.



Simplify the radical. 
= w 
