Division Property of Radicals
The Division Property of Radicals allows us to write a single radical as the
quotient of two radicals.
Here are two examples: 
Square Root

Cube Root

It can also be used to write the quotient of two radicals as a single radical,
provided they have the same index.
Here are two examples: 
Square Root

Cube Root

Property â€”
Division Property of Radicals
English The nth root of a quotient is the quotient of the nth roots.
Algebra
where
and
are real numbers, b
≠ 0, and n is a
positive integer.
Example
Example
Simplify:
SolutionTo simplify, use the Division Property of Radicals to rewrite each radical.
a. 



Write each radical as a quotient of radicals.



Simplify


b. 



Write each radical as a quotient of radicals.



Simplify


