Division Property of Radicals
Property —
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
Use the Division Property of Radicals to rewrite each radical. Then
simplify the result.
Solution
| a. |
|
 |
| |
Write the quotient as a single radical.
|
 |
| |
Simplify the radicand.
|
 |
| |
Simplify the radical. |
= 6w |
| b. |
|
 |
| |
Write the quotient as a single radical.
|
 |
| |
Simplify the radicand.
|
 |
| |
Simplify the radical. |
= 2x |
|